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Finding the Fourth Proportional to 398,321.43, 596,498.23 and 296,876.15

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Solution

The fourth proportional to 398,321.43, 596,498.23 and 296,876.15 is: 444,580.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,321.43 : 596,498.23 = 296,876.15 : x
  2. Step 2: Convert to fraction form
    398,321.43/596,498.23 = 296,876.15/x
  3. Step 3: Cross multiply
    398,321.43x = 596,498.23 × 296,876.15
  4. Step 4: Simplify right side
    398,321.43x = 177,086,096,519.83
  5. Step 5: Solve for x
    x = 177,086,096,519.83/398,321.43
  6. Step 6: Final answer
    x = 444,580.89

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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.