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Finding the Fourth Proportional to 393,179.50, 589,769.34 and 97,691.50

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Solution

The fourth proportional to 393,179.50, 589,769.34 and 97,691.50 is: 146,537.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,179.50 : 589,769.34 = 97,691.50 : x
  2. Step 2: Convert to fraction form
    393,179.50/589,769.34 = 97,691.50/x
  3. Step 3: Cross multiply
    393,179.50x = 589,769.34 × 97,691.50
  4. Step 4: Simplify right side
    393,179.50x = 57,615,451,478.61
  5. Step 5: Solve for x
    x = 57,615,451,478.61/393,179.50
  6. Step 6: Final answer
    x = 146,537.27

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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.