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Finding the Fourth Proportional to 516,552.78, 712,808.25 and 287,095.17

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Solution

The fourth proportional to 516,552.78, 712,808.25 and 287,095.17 is: 396,172.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,552.78 : 712,808.25 = 287,095.17 : x
  2. Step 2: Convert to fraction form
    516,552.78/712,808.25 = 287,095.17/x
  3. Step 3: Cross multiply
    516,552.78x = 712,808.25 × 287,095.17
  4. Step 4: Simplify right side
    516,552.78x = 204,643,805,711.15
  5. Step 5: Solve for x
    x = 204,643,805,711.15/516,552.78
  6. Step 6: Final answer
    x = 396,172.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.