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Finding the Fourth Proportional to 310,284.87, 465,613.20 and 132,792.05

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Solution

The fourth proportional to 310,284.87, 465,613.20 and 132,792.05 is: 199,267.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,284.87 : 465,613.20 = 132,792.05 : x
  2. Step 2: Convert to fraction form
    310,284.87/465,613.20 = 132,792.05/x
  3. Step 3: Cross multiply
    310,284.87x = 465,613.20 × 132,792.05
  4. Step 4: Simplify right side
    310,284.87x = 61,829,729,006.99
  5. Step 5: Solve for x
    x = 61,829,729,006.99/310,284.87
  6. Step 6: Final answer
    x = 199,267.62

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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.