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Finding the Fourth Proportional to 402,117.90, 603,517.05 and 165,630.30

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Solution

The fourth proportional to 402,117.90, 603,517.05 and 165,630.30 is: 248,585.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,117.90 : 603,517.05 = 165,630.30 : x
  2. Step 2: Convert to fraction form
    402,117.90/603,517.05 = 165,630.30/x
  3. Step 3: Cross multiply
    402,117.90x = 603,517.05 × 165,630.30
  4. Step 4: Simplify right side
    402,117.90x = 99,960,710,046.62
  5. Step 5: Solve for x
    x = 99,960,710,046.62/402,117.90
  6. Step 6: Final answer
    x = 248,585.58

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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.