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Finding the Fourth Proportional to 408,465.12, 563,638.68 and 227,147.88

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Solution

The fourth proportional to 408,465.12, 563,638.68 and 227,147.88 is: 313,440.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,465.12 : 563,638.68 = 227,147.88 : x
  2. Step 2: Convert to fraction form
    408,465.12/563,638.68 = 227,147.88/x
  3. Step 3: Cross multiply
    408,465.12x = 563,638.68 × 227,147.88
  4. Step 4: Simplify right side
    408,465.12x = 128,029,331,248.00
  5. Step 5: Solve for x
    x = 128,029,331,248.00/408,465.12
  6. Step 6: Final answer
    x = 313,440.06

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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.