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Finding the Fourth Proportional to 408,294.31, 563,438.85 and 227,002.34

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Solution

The fourth proportional to 408,294.31, 563,438.85 and 227,002.34 is: 313,259.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,294.31 : 563,438.85 = 227,002.34 : x
  2. Step 2: Convert to fraction form
    408,294.31/563,438.85 = 227,002.34/x
  3. Step 3: Cross multiply
    408,294.31x = 563,438.85 × 227,002.34
  4. Step 4: Simplify right side
    408,294.31x = 127,901,937,396.91
  5. Step 5: Solve for x
    x = 127,901,937,396.91/408,294.31
  6. Step 6: Final answer
    x = 313,259.17

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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.