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Finding the Fourth Proportional to 329,013.80, 493,635.90 and 142,159.40

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Solution

The fourth proportional to 329,013.80, 493,635.90 and 142,159.40 is: 213,288.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,013.80 : 493,635.90 = 142,159.40 : x
  2. Step 2: Convert to fraction form
    329,013.80/493,635.90 = 142,159.40/x
  3. Step 3: Cross multiply
    329,013.80x = 493,635.90 × 142,159.40
  4. Step 4: Simplify right side
    329,013.80x = 70,174,983,362.46
  5. Step 5: Solve for x
    x = 70,174,983,362.46/329,013.80
  6. Step 6: Final answer
    x = 213,288.88

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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.