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Finding the Fourth Proportional to 398,820.14, 598,100.79 and 132,509.15

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Solution

The fourth proportional to 398,820.14, 598,100.79 and 132,509.15 is: 198,720.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,820.14 : 598,100.79 = 132,509.15 : x
  2. Step 2: Convert to fraction form
    398,820.14/598,100.79 = 132,509.15/x
  3. Step 3: Cross multiply
    398,820.14x = 598,100.79 × 132,509.15
  4. Step 4: Simplify right side
    398,820.14x = 79,253,827,297.23
  5. Step 5: Solve for x
    x = 79,253,827,297.23/398,820.14
  6. Step 6: Final answer
    x = 198,720.72

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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.