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Finding the Fourth Proportional to 489,445.16, 734,166 and 276,116.30

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Solution

The fourth proportional to 489,445.16, 734,166 and 276,116.30 is: 414,173.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,445.16 : 734,166 = 276,116.30 : x
  2. Step 2: Convert to fraction form
    489,445.16/734,166 = 276,116.30/x
  3. Step 3: Cross multiply
    489,445.16x = 734,166 × 276,116.30
  4. Step 4: Simplify right side
    489,445.16x = 202,715,199,505.80
  5. Step 5: Solve for x
    x = 202,715,199,505.80/489,445.16
  6. Step 6: Final answer
    x = 414,173.47

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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.