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Finding the Fourth Proportional to 398,169.18, 597,342.33 and 145,449.18

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Solution

The fourth proportional to 398,169.18, 597,342.33 and 145,449.18 is: 218,206.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,169.18 : 597,342.33 = 145,449.18 : x
  2. Step 2: Convert to fraction form
    398,169.18/597,342.33 = 145,449.18/x
  3. Step 3: Cross multiply
    398,169.18x = 597,342.33 × 145,449.18
  4. Step 4: Simplify right side
    398,169.18x = 86,882,952,077.79
  5. Step 5: Solve for x
    x = 86,882,952,077.79/398,169.18
  6. Step 6: Final answer
    x = 218,206.12

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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.