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Finding the Fourth Proportional to 219,278.40, 329,047.20 and 159,964.80

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Solution

The fourth proportional to 219,278.40, 329,047.20 and 159,964.80 is: 240,041.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,278.40 : 329,047.20 = 159,964.80 : x
  2. Step 2: Convert to fraction form
    219,278.40/329,047.20 = 159,964.80/x
  3. Step 3: Cross multiply
    219,278.40x = 329,047.20 × 159,964.80
  4. Step 4: Simplify right side
    219,278.40x = 52,635,969,538.56
  5. Step 5: Solve for x
    x = 52,635,969,538.56/219,278.40
  6. Step 6: Final answer
    x = 240,041.74

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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.