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Finding the Fourth Proportional to 329,097.78, 493,314.30 and 129,558.20

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Solution

The fourth proportional to 329,097.78, 493,314.30 and 129,558.20 is: 194,206.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,097.78 : 493,314.30 = 129,558.20 : x
  2. Step 2: Convert to fraction form
    329,097.78/493,314.30 = 129,558.20/x
  3. Step 3: Cross multiply
    329,097.78x = 493,314.30 × 129,558.20
  4. Step 4: Simplify right side
    329,097.78x = 63,912,910,275.69
  5. Step 5: Solve for x
    x = 63,912,910,275.69/329,097.78
  6. Step 6: Final answer
    x = 194,206.45

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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.