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Finding the Fourth Proportional to 539,414.28, 808,871.13 and 314,839.35

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Solution

The fourth proportional to 539,414.28, 808,871.13 and 314,839.35 is: 472,112.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,414.28 : 808,871.13 = 314,839.35 : x
  2. Step 2: Convert to fraction form
    539,414.28/808,871.13 = 314,839.35/x
  3. Step 3: Cross multiply
    539,414.28x = 808,871.13 × 314,839.35
  4. Step 4: Simplify right side
    539,414.28x = 254,664,460,802.97
  5. Step 5: Solve for x
    x = 254,664,460,802.97/539,414.28
  6. Step 6: Final answer
    x = 472,112.94

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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.