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Finding the Fourth Proportional to 661,780.08, 992,269.17 and 296,974.80

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Solution

The fourth proportional to 661,780.08, 992,269.17 and 296,974.80 is: 445,282.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,780.08 : 992,269.17 = 296,974.80 : x
  2. Step 2: Convert to fraction form
    661,780.08/992,269.17 = 296,974.80/x
  3. Step 3: Cross multiply
    661,780.08x = 992,269.17 × 296,974.80
  4. Step 4: Simplify right side
    661,780.08x = 294,678,938,306.92
  5. Step 5: Solve for x
    x = 294,678,938,306.92/661,780.08
  6. Step 6: Final answer
    x = 445,282.27

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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.