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Finding the Fourth Proportional to 398,213.80, 597,313.02 and 98,695

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Solution

The fourth proportional to 398,213.80, 597,313.02 and 98,695 is: 148,040.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,213.80 : 597,313.02 = 98,695 : x
  2. Step 2: Convert to fraction form
    398,213.80/597,313.02 = 98,695/x
  3. Step 3: Cross multiply
    398,213.80x = 597,313.02 × 98,695
  4. Step 4: Simplify right side
    398,213.80x = 58,951,808,508.90
  5. Step 5: Solve for x
    x = 58,951,808,508.90/398,213.80
  6. Step 6: Final answer
    x = 148,040.60

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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.