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Finding the Fourth Proportional to 402,203.72, 603,379.68 and 132,347

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Solution

The fourth proportional to 402,203.72, 603,379.68 and 132,347 is: 198,544.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,203.72 : 603,379.68 = 132,347 : x
  2. Step 2: Convert to fraction form
    402,203.72/603,379.68 = 132,347/x
  3. Step 3: Cross multiply
    402,203.72x = 603,379.68 × 132,347
  4. Step 4: Simplify right side
    402,203.72x = 79,855,490,508.96
  5. Step 5: Solve for x
    x = 79,855,490,508.96/402,203.72
  6. Step 6: Final answer
    x = 198,544.88

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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.