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Finding the Fourth Proportional to 409,392.50, 564,965.32 and 239,630.28

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Solution

The fourth proportional to 409,392.50, 564,965.32 and 239,630.28 is: 330,691.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,392.50 : 564,965.32 = 239,630.28 : x
  2. Step 2: Convert to fraction form
    409,392.50/564,965.32 = 239,630.28/x
  3. Step 3: Cross multiply
    409,392.50x = 564,965.32 × 239,630.28
  4. Step 4: Simplify right side
    409,392.50x = 135,382,797,821.89
  5. Step 5: Solve for x
    x = 135,382,797,821.89/409,392.50
  6. Step 6: Final answer
    x = 330,691.93

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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.