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Finding the Fourth Proportional to 402,218.90, 603,668.55 and 165,731.30

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Solution

The fourth proportional to 402,218.90, 603,668.55 and 165,731.30 is: 248,737.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,218.90 : 603,668.55 = 165,731.30 : x
  2. Step 2: Convert to fraction form
    402,218.90/603,668.55 = 165,731.30/x
  3. Step 3: Cross multiply
    402,218.90x = 603,668.55 × 165,731.30
  4. Step 4: Simplify right side
    402,218.90x = 100,046,773,560.62
  5. Step 5: Solve for x
    x = 100,046,773,560.62/402,218.90
  6. Step 6: Final answer
    x = 248,737.13

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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.