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Finding the Fourth Proportional to 509,874.16, 703,635.24 and 280,456.24

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Solution

The fourth proportional to 509,874.16, 703,635.24 and 280,456.24 is: 387,034.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,874.16 : 703,635.24 = 280,456.24 : x
  2. Step 2: Convert to fraction form
    509,874.16/703,635.24 = 280,456.24/x
  3. Step 3: Cross multiply
    509,874.16x = 703,635.24 × 280,456.24
  4. Step 4: Simplify right side
    509,874.16x = 197,338,893,741.90
  5. Step 5: Solve for x
    x = 197,338,893,741.90/509,874.16
  6. Step 6: Final answer
    x = 387,034.51

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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.