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Finding the Fourth Proportional to 398,671.75, 598,108.65 and 132,433.66

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Solution

The fourth proportional to 398,671.75, 598,108.65 and 132,433.66 is: 198,684.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,671.75 : 598,108.65 = 132,433.66 : x
  2. Step 2: Convert to fraction form
    398,671.75/598,108.65 = 132,433.66/x
  3. Step 3: Cross multiply
    398,671.75x = 598,108.65 × 132,433.66
  4. Step 4: Simplify right side
    398,671.75x = 79,209,717,597.16
  5. Step 5: Solve for x
    x = 79,209,717,597.16/398,671.75
  6. Step 6: Final answer
    x = 198,684.05

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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.