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Finding the Fourth Proportional to 409,432.50, 565,020.90 and 239,670.27

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Solution

The fourth proportional to 409,432.50, 565,020.90 and 239,670.27 is: 330,747.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,432.50 : 565,020.90 = 239,670.27 : x
  2. Step 2: Convert to fraction form
    409,432.50/565,020.90 = 239,670.27/x
  3. Step 3: Cross multiply
    409,432.50x = 565,020.90 × 239,670.27
  4. Step 4: Simplify right side
    409,432.50x = 135,418,711,658.64
  5. Step 5: Solve for x
    x = 135,418,711,658.64/409,432.50
  6. Step 6: Final answer
    x = 330,747.34

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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.