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Finding the Fourth Proportional to 409,432.56, 565,020.96 and 239,670.24

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Solution

The fourth proportional to 409,432.56, 565,020.96 and 239,670.24 is: 330,747.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,432.56 : 565,020.96 = 239,670.24 : x
  2. Step 2: Convert to fraction form
    409,432.56/565,020.96 = 239,670.24/x
  3. Step 3: Cross multiply
    409,432.56x = 565,020.96 × 239,670.24
  4. Step 4: Simplify right side
    409,432.56x = 135,418,709,088.23
  5. Step 5: Solve for x
    x = 135,418,709,088.23/409,432.56
  6. Step 6: Final answer
    x = 330,747.29

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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.