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Finding the Fourth Proportional to 391,178.22, 586,858.84 and 121,292.16

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Solution

The fourth proportional to 391,178.22, 586,858.84 and 121,292.16 is: 181,966.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,178.22 : 586,858.84 = 121,292.16 : x
  2. Step 2: Convert to fraction form
    391,178.22/586,858.84 = 121,292.16/x
  3. Step 3: Cross multiply
    391,178.22x = 586,858.84 × 121,292.16
  4. Step 4: Simplify right side
    391,178.22x = 71,181,376,318.69
  5. Step 5: Solve for x
    x = 71,181,376,318.69/391,178.22
  6. Step 6: Final answer
    x = 181,966.61

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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.