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Finding the Fourth Proportional to 506,930.64, 699,542.28 and 280,562.64

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Solution

The fourth proportional to 506,930.64, 699,542.28 and 280,562.64 is: 387,164.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,930.64 : 699,542.28 = 280,562.64 : x
  2. Step 2: Convert to fraction form
    506,930.64/699,542.28 = 280,562.64/x
  3. Step 3: Cross multiply
    506,930.64x = 699,542.28 × 280,562.64
  4. Step 4: Simplify right side
    506,930.64x = 196,265,428,868.42
  5. Step 5: Solve for x
    x = 196,265,428,868.42/506,930.64
  6. Step 6: Final answer
    x = 387,164.27

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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.