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Finding the Fourth Proportional to 402,235.92, 603,608.20 and 224,859.36

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Solution

The fourth proportional to 402,235.92, 603,608.20 and 224,859.36 is: 337,431.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,235.92 : 603,608.20 = 224,859.36 : x
  2. Step 2: Convert to fraction form
    402,235.92/603,608.20 = 224,859.36/x
  3. Step 3: Cross multiply
    402,235.92x = 603,608.20 × 224,859.36
  4. Step 4: Simplify right side
    402,235.92x = 135,726,953,542.75
  5. Step 5: Solve for x
    x = 135,726,953,542.75/402,235.92
  6. Step 6: Final answer
    x = 337,431.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.