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Finding the Fourth Proportional to 506,529.12, 699,001.56 and 280,174.44

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Solution

The fourth proportional to 506,529.12, 699,001.56 and 280,174.44 is: 386,635.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,529.12 : 699,001.56 = 280,174.44 : x
  2. Step 2: Convert to fraction form
    506,529.12/699,001.56 = 280,174.44/x
  3. Step 3: Cross multiply
    506,529.12x = 699,001.56 × 280,174.44
  4. Step 4: Simplify right side
    506,529.12x = 195,842,370,632.13
  5. Step 5: Solve for x
    x = 195,842,370,632.13/506,529.12
  6. Step 6: Final answer
    x = 386,635.96

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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.