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Finding the Fourth Proportional to 391,108.20, 586,424.70 and 154,177.80

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Solution

The fourth proportional to 391,108.20, 586,424.70 and 154,177.80 is: 231,173.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,108.20 : 586,424.70 = 154,177.80 : x
  2. Step 2: Convert to fraction form
    391,108.20/586,424.70 = 154,177.80/x
  3. Step 3: Cross multiply
    391,108.20x = 586,424.70 × 154,177.80
  4. Step 4: Simplify right side
    391,108.20x = 90,413,670,111.66
  5. Step 5: Solve for x
    x = 90,413,670,111.66/391,108.20
  6. Step 6: Final answer
    x = 231,173.04

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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.