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Finding the Fourth Proportional to 318,673.86, 478,306.17 and 161,013.12

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Solution

The fourth proportional to 318,673.86, 478,306.17 and 161,013.12 is: 241,668.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,673.86 : 478,306.17 = 161,013.12 : x
  2. Step 2: Convert to fraction form
    318,673.86/478,306.17 = 161,013.12/x
  3. Step 3: Cross multiply
    318,673.86x = 478,306.17 × 161,013.12
  4. Step 4: Simplify right side
    318,673.86x = 77,013,568,746.95
  5. Step 5: Solve for x
    x = 77,013,568,746.95/318,673.86
  6. Step 6: Final answer
    x = 241,668.92

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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.