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Finding the Fourth Proportional to 518,523.12, 715,561.92 and 280,059.12

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Solution

The fourth proportional to 518,523.12, 715,561.92 and 280,059.12 is: 386,481.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,523.12 : 715,561.92 = 280,059.12 : x
  2. Step 2: Convert to fraction form
    518,523.12/715,561.92 = 280,059.12/x
  3. Step 3: Cross multiply
    518,523.12x = 715,561.92 × 280,059.12
  4. Step 4: Simplify right side
    518,523.12x = 200,399,641,620.71
  5. Step 5: Solve for x
    x = 200,399,641,620.71/518,523.12
  6. Step 6: Final answer
    x = 386,481.59

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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.