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Finding the Fourth Proportional to 584,711.31, 806,901.61 and 316,439.31

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Solution

The fourth proportional to 584,711.31, 806,901.61 and 316,439.31 is: 436,686.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,711.31 : 806,901.61 = 316,439.31 : x
  2. Step 2: Convert to fraction form
    584,711.31/806,901.61 = 316,439.31/x
  3. Step 3: Cross multiply
    584,711.31x = 806,901.61 × 316,439.31
  4. Step 4: Simplify right side
    584,711.31x = 255,335,388,706.29
  5. Step 5: Solve for x
    x = 255,335,388,706.29/584,711.31
  6. Step 6: Final answer
    x = 436,686.25

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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.