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Finding the Fourth Proportional to 513,170.52, 708,153 and 280,593.16

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Solution

The fourth proportional to 513,170.52, 708,153 and 280,593.16 is: 387,206.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,170.52 : 708,153 = 280,593.16 : x
  2. Step 2: Convert to fraction form
    513,170.52/708,153 = 280,593.16/x
  3. Step 3: Cross multiply
    513,170.52x = 708,153 × 280,593.16
  4. Step 4: Simplify right side
    513,170.52x = 198,702,888,033.48
  5. Step 5: Solve for x
    x = 198,702,888,033.48/513,170.52
  6. Step 6: Final answer
    x = 387,206.36

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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.