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Finding the Fourth Proportional to 296,658.65, 445,014.20 and 83,428.38

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Solution

The fourth proportional to 296,658.65, 445,014.20 and 83,428.38 is: 125,149.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,658.65 : 445,014.20 = 83,428.38 : x
  2. Step 2: Convert to fraction form
    296,658.65/445,014.20 = 83,428.38/x
  3. Step 3: Cross multiply
    296,658.65x = 445,014.20 × 83,428.38
  4. Step 4: Simplify right side
    296,658.65x = 37,126,813,991.57
  5. Step 5: Solve for x
    x = 37,126,813,991.57/296,658.65
  6. Step 6: Final answer
    x = 125,149.94

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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.