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Finding the Fourth Proportional to 309,869.50, 465,000.84 and 132,377.80

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Solution

The fourth proportional to 309,869.50, 465,000.84 and 132,377.80 is: 198,650.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,869.50 : 465,000.84 = 132,377.80 : x
  2. Step 2: Convert to fraction form
    309,869.50/465,000.84 = 132,377.80/x
  3. Step 3: Cross multiply
    309,869.50x = 465,000.84 × 132,377.80
  4. Step 4: Simplify right side
    309,869.50x = 61,555,788,197.35
  5. Step 5: Solve for x
    x = 61,555,788,197.35/309,869.50
  6. Step 6: Final answer
    x = 198,650.68

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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.