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Finding the Fourth Proportional to 489,685.48, 734,459.10 and 157,218.28

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Solution

The fourth proportional to 489,685.48, 734,459.10 and 157,218.28 is: 235,805.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,685.48 : 734,459.10 = 157,218.28 : x
  2. Step 2: Convert to fraction form
    489,685.48/734,459.10 = 157,218.28/x
  3. Step 3: Cross multiply
    489,685.48x = 734,459.10 × 157,218.28
  4. Step 4: Simplify right side
    489,685.48x = 115,470,396,432.35
  5. Step 5: Solve for x
    x = 115,470,396,432.35/489,685.48
  6. Step 6: Final answer
    x = 235,805.23

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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.