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Finding the Fourth Proportional to 329,034, 493,553.70 and 79,716

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Solution

The fourth proportional to 329,034, 493,553.70 and 79,716 is: 119,574.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,034 : 493,553.70 = 79,716 : x
  2. Step 2: Convert to fraction form
    329,034/493,553.70 = 79,716/x
  3. Step 3: Cross multiply
    329,034x = 493,553.70 × 79,716
  4. Step 4: Simplify right side
    329,034x = 39,344,126,749.20
  5. Step 5: Solve for x
    x = 39,344,126,749.20/329,034
  6. Step 6: Final answer
    x = 119,574.65

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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.