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Finding the Fourth Proportional to 513,175.52, 708,159.92 and 280,598.20

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Solution

The fourth proportional to 513,175.52, 708,159.92 and 280,598.20 is: 387,213.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,175.52 : 708,159.92 = 280,598.20 : x
  2. Step 2: Convert to fraction form
    513,175.52/708,159.92 = 280,598.20/x
  3. Step 3: Cross multiply
    513,175.52x = 708,159.92 × 280,598.20
  4. Step 4: Simplify right side
    513,175.52x = 198,708,398,864.14
  5. Step 5: Solve for x
    x = 198,708,398,864.14/513,175.52
  6. Step 6: Final answer
    x = 387,213.32

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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.