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Finding the Fourth Proportional to 391,253.44, 586,919.04 and 141,954.88

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Solution

The fourth proportional to 391,253.44, 586,919.04 and 141,954.88 is: 212,946.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,253.44 : 586,919.04 = 141,954.88 : x
  2. Step 2: Convert to fraction form
    391,253.44/586,919.04 = 141,954.88/x
  3. Step 3: Cross multiply
    391,253.44x = 586,919.04 × 141,954.88
  4. Step 4: Simplify right side
    391,253.44x = 83,316,021,892.92
  5. Step 5: Solve for x
    x = 83,316,021,892.92/391,253.44
  6. Step 6: Final answer
    x = 212,946.43

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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.