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Finding the Fourth Proportional to 398,221.80, 597,325.02 and 98,703

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Solution

The fourth proportional to 398,221.80, 597,325.02 and 98,703 is: 148,052.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,221.80 : 597,325.02 = 98,703 : x
  2. Step 2: Convert to fraction form
    398,221.80/597,325.02 = 98,703/x
  3. Step 3: Cross multiply
    398,221.80x = 597,325.02 × 98,703
  4. Step 4: Simplify right side
    398,221.80x = 58,957,771,449.06
  5. Step 5: Solve for x
    x = 58,957,771,449.06/398,221.80
  6. Step 6: Final answer
    x = 148,052.60

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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.