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Finding the Fourth Proportional to 506,932.64, 699,545.04 and 280,564.64

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Solution

The fourth proportional to 506,932.64, 699,545.04 and 280,564.64 is: 387,167.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,932.64 : 699,545.04 = 280,564.64 : x
  2. Step 2: Convert to fraction form
    506,932.64/699,545.04 = 280,564.64/x
  3. Step 3: Cross multiply
    506,932.64x = 699,545.04 × 280,564.64
  4. Step 4: Simplify right side
    506,932.64x = 196,267,602,311.39
  5. Step 5: Solve for x
    x = 196,267,602,311.39/506,932.64
  6. Step 6: Final answer
    x = 387,167.03

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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.