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Finding the Fourth Proportional to 398,648.20, 597,842.70 and 132,363.40

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Solution

The fourth proportional to 398,648.20, 597,842.70 and 132,363.40 is: 198,502.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,648.20 : 597,842.70 = 132,363.40 : x
  2. Step 2: Convert to fraction form
    398,648.20/597,842.70 = 132,363.40/x
  3. Step 3: Cross multiply
    398,648.20x = 597,842.70 × 132,363.40
  4. Step 4: Simplify right side
    398,648.20x = 79,132,492,437.18
  5. Step 5: Solve for x
    x = 79,132,492,437.18/398,648.20
  6. Step 6: Final answer
    x = 198,502.07

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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.