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Finding the Fourth Proportional to 408,678.96, 563,941.98 and 227,391.24

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Solution

The fourth proportional to 408,678.96, 563,941.98 and 227,391.24 is: 313,780.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,678.96 : 563,941.98 = 227,391.24 : x
  2. Step 2: Convert to fraction form
    408,678.96/563,941.98 = 227,391.24/x
  3. Step 3: Cross multiply
    408,678.96x = 563,941.98 × 227,391.24
  4. Step 4: Simplify right side
    408,678.96x = 128,235,466,120.26
  5. Step 5: Solve for x
    x = 128,235,466,120.26/408,678.96
  6. Step 6: Final answer
    x = 313,780.45

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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.