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Finding the Fourth Proportional to 328,854.15, 493,294.95 and 104,209.61

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Solution

The fourth proportional to 328,854.15, 493,294.95 and 104,209.61 is: 156,318.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,854.15 : 493,294.95 = 104,209.61 : x
  2. Step 2: Convert to fraction form
    328,854.15/493,294.95 = 104,209.61/x
  3. Step 3: Cross multiply
    328,854.15x = 493,294.95 × 104,209.61
  4. Step 4: Simplify right side
    328,854.15x = 51,406,073,833.42
  5. Step 5: Solve for x
    x = 51,406,073,833.42/328,854.15
  6. Step 6: Final answer
    x = 156,318.76

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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.