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Finding the Fourth Proportional to 409,387.50, 564,958.40 and 239,625.27

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Solution

The fourth proportional to 409,387.50, 564,958.40 and 239,625.27 is: 330,685.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,387.50 : 564,958.40 = 239,625.27 : x
  2. Step 2: Convert to fraction form
    409,387.50/564,958.40 = 239,625.27/x
  3. Step 3: Cross multiply
    409,387.50x = 564,958.40 × 239,625.27
  4. Step 4: Simplify right side
    409,387.50x = 135,378,307,940.64
  5. Step 5: Solve for x
    x = 135,378,307,940.64/409,387.50
  6. Step 6: Final answer
    x = 330,685.01

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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.