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Finding the Fourth Proportional to 408,438.96, 563,562.48 and 238,640.28

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Solution

The fourth proportional to 408,438.96, 563,562.48 and 238,640.28 is: 329,274.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,438.96 : 563,562.48 = 238,640.28 : x
  2. Step 2: Convert to fraction form
    408,438.96/563,562.48 = 238,640.28/x
  3. Step 3: Cross multiply
    408,438.96x = 563,562.48 × 238,640.28
  4. Step 4: Simplify right side
    408,438.96x = 134,488,708,024.69
  5. Step 5: Solve for x
    x = 134,488,708,024.69/408,438.96
  6. Step 6: Final answer
    x = 329,274.93

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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.