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Finding the Fourth Proportional to 398,713.56, 597,967.68 and 118,165.20

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Solution

The fourth proportional to 398,713.56, 597,967.68 and 118,165.20 is: 177,217.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,713.56 : 597,967.68 = 118,165.20 : x
  2. Step 2: Convert to fraction form
    398,713.56/597,967.68 = 118,165.20/x
  3. Step 3: Cross multiply
    398,713.56x = 597,967.68 × 118,165.20
  4. Step 4: Simplify right side
    398,713.56x = 70,658,970,500.74
  5. Step 5: Solve for x
    x = 70,658,970,500.74/398,713.56
  6. Step 6: Final answer
    x = 177,217.38

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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.