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Finding the Fourth Proportional to 409,064.48, 564,373.68 and 239,178.32

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Solution

The fourth proportional to 409,064.48, 564,373.68 and 239,178.32 is: 329,986.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,064.48 : 564,373.68 = 239,178.32 : x
  2. Step 2: Convert to fraction form
    409,064.48/564,373.68 = 239,178.32/x
  3. Step 3: Cross multiply
    409,064.48x = 564,373.68 × 239,178.32
  4. Step 4: Simplify right side
    409,064.48x = 134,985,948,634.62
  5. Step 5: Solve for x
    x = 134,985,948,634.62/409,064.48
  6. Step 6: Final answer
    x = 329,986.97

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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.