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Finding the Fourth Proportional to 329,103, 493,654.50 and 79,785

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Solution

The fourth proportional to 329,103, 493,654.50 and 79,785 is: 119,677.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,103 : 493,654.50 = 79,785 : x
  2. Step 2: Convert to fraction form
    329,103/493,654.50 = 79,785/x
  3. Step 3: Cross multiply
    329,103x = 493,654.50 × 79,785
  4. Step 4: Simplify right side
    329,103x = 39,386,224,282.50
  5. Step 5: Solve for x
    x = 39,386,224,282.50/329,103
  6. Step 6: Final answer
    x = 119,677.50

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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.