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Finding the Fourth Proportional to 408,877.76, 564,138 and 245,491.76

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Solution

The fourth proportional to 408,877.76, 564,138 and 245,491.76 is: 338,710.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,877.76 : 564,138 = 245,491.76 : x
  2. Step 2: Convert to fraction form
    408,877.76/564,138 = 245,491.76/x
  3. Step 3: Cross multiply
    408,877.76x = 564,138 × 245,491.76
  4. Step 4: Simplify right side
    408,877.76x = 138,491,230,502.88
  5. Step 5: Solve for x
    x = 138,491,230,502.88/408,877.76
  6. Step 6: Final answer
    x = 338,710.60

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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.