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Finding the Fourth Proportional to 513,724.88, 708,967.88 and 287,356.88

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Solution

The fourth proportional to 513,724.88, 708,967.88 and 287,356.88 is: 396,567.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,724.88 : 708,967.88 = 287,356.88 : x
  2. Step 2: Convert to fraction form
    513,724.88/708,967.88 = 287,356.88/x
  3. Step 3: Cross multiply
    513,724.88x = 708,967.88 × 287,356.88
  4. Step 4: Simplify right side
    513,724.88x = 203,726,798,017.01
  5. Step 5: Solve for x
    x = 203,726,798,017.01/513,724.88
  6. Step 6: Final answer
    x = 396,567.90

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1.5x scale

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.