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Finding the Fourth Proportional to 391,146.31, 586,919.70 and 186,212.90

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Solution

The fourth proportional to 391,146.31, 586,919.70 and 186,212.90 is: 279,414.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,146.31 : 586,919.70 = 186,212.90 : x
  2. Step 2: Convert to fraction form
    391,146.31/586,919.70 = 186,212.90/x
  3. Step 3: Cross multiply
    391,146.31x = 586,919.70 × 186,212.90
  4. Step 4: Simplify right side
    391,146.31x = 109,292,017,167.83
  5. Step 5: Solve for x
    x = 109,292,017,167.83/391,146.31
  6. Step 6: Final answer
    x = 279,414.67

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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.