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Finding the Fourth Proportional to 398,689.97, 598,037.12 and 99,170.56

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Solution

The fourth proportional to 398,689.97, 598,037.12 and 99,170.56 is: 148,756.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,689.97 : 598,037.12 = 99,170.56 : x
  2. Step 2: Convert to fraction form
    398,689.97/598,037.12 = 99,170.56/x
  3. Step 3: Cross multiply
    398,689.97x = 598,037.12 × 99,170.56
  4. Step 4: Simplify right side
    398,689.97x = 59,307,677,272.60
  5. Step 5: Solve for x
    x = 59,307,677,272.60/398,689.97
  6. Step 6: Final answer
    x = 148,756.38

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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.