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Finding the Fourth Proportional to 329,159.70, 493,695.78 and 129,426.45

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Solution

The fourth proportional to 329,159.70, 493,695.78 and 129,426.45 is: 194,122.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,159.70 : 493,695.78 = 129,426.45 : x
  2. Step 2: Convert to fraction form
    329,159.70/493,695.78 = 129,426.45/x
  3. Step 3: Cross multiply
    329,159.70x = 493,695.78 × 129,426.45
  4. Step 4: Simplify right side
    329,159.70x = 63,897,292,185.38
  5. Step 5: Solve for x
    x = 63,897,292,185.38/329,159.70
  6. Step 6: Final answer
    x = 194,122.46

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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.