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Finding the Fourth Proportional to 391,016.19, 586,939.04 and 346,327.65

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Solution

The fourth proportional to 391,016.19, 586,939.04 and 346,327.65 is: 519,858.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,016.19 : 586,939.04 = 346,327.65 : x
  2. Step 2: Convert to fraction form
    391,016.19/586,939.04 = 346,327.65/x
  3. Step 3: Cross multiply
    391,016.19x = 586,939.04 × 346,327.65
  4. Step 4: Simplify right side
    391,016.19x = 203,273,218,416.46
  5. Step 5: Solve for x
    x = 203,273,218,416.46/391,016.19
  6. Step 6: Final answer
    x = 519,858.83

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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.