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Finding the Fourth Proportional to 711,422.48, 981,709.80 and 389,115.92

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Solution

The fourth proportional to 711,422.48, 981,709.80 and 389,115.92 is: 536,950.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,422.48 : 981,709.80 = 389,115.92 : x
  2. Step 2: Convert to fraction form
    711,422.48/981,709.80 = 389,115.92/x
  3. Step 3: Cross multiply
    711,422.48x = 981,709.80 × 389,115.92
  4. Step 4: Simplify right side
    711,422.48x = 381,998,912,000.02
  5. Step 5: Solve for x
    x = 381,998,912,000.02/711,422.48
  6. Step 6: Final answer
    x = 536,950.86

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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.