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Finding the Fourth Proportional to 408,704.59, 564,012.33 and 227,428.20

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Solution

The fourth proportional to 408,704.59, 564,012.33 and 227,428.20 is: 313,850.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,704.59 : 564,012.33 = 227,428.20 : x
  2. Step 2: Convert to fraction form
    408,704.59/564,012.33 = 227,428.20/x
  3. Step 3: Cross multiply
    408,704.59x = 564,012.33 × 227,428.20
  4. Step 4: Simplify right side
    408,704.59x = 128,272,308,989.71
  5. Step 5: Solve for x
    x = 128,272,308,989.71/408,704.59
  6. Step 6: Final answer
    x = 313,850.91

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1.5x scale

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.