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Finding the Fourth Proportional to 489,943.40, 734,915.10 and 406,999.40

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Solution

The fourth proportional to 489,943.40, 734,915.10 and 406,999.40 is: 610,499.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,943.40 : 734,915.10 = 406,999.40 : x
  2. Step 2: Convert to fraction form
    489,943.40/734,915.10 = 406,999.40/x
  3. Step 3: Cross multiply
    489,943.40x = 734,915.10 × 406,999.40
  4. Step 4: Simplify right side
    489,943.40x = 299,110,004,750.94
  5. Step 5: Solve for x
    x = 299,110,004,750.94/489,943.40
  6. Step 6: Final answer
    x = 610,499.10

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.