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Finding the Fourth Proportional to 408,436.59, 563,609.84 and 227,148.87

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Solution

The fourth proportional to 408,436.59, 563,609.84 and 227,148.87 is: 313,447.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,436.59 : 563,609.84 = 227,148.87 : x
  2. Step 2: Convert to fraction form
    408,436.59/563,609.84 = 227,148.87/x
  3. Step 3: Cross multiply
    408,436.59x = 563,609.84 × 227,148.87
  4. Step 4: Simplify right side
    408,436.59x = 128,023,337,141.14
  5. Step 5: Solve for x
    x = 128,023,337,141.14/408,436.59
  6. Step 6: Final answer
    x = 313,447.28

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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.