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Finding the Fourth Proportional to 327,585.88, 491,388.54 and 90,946

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Solution

The fourth proportional to 327,585.88, 491,388.54 and 90,946 is: 136,421.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,585.88 : 491,388.54 = 90,946 : x
  2. Step 2: Convert to fraction form
    327,585.88/491,388.54 = 90,946/x
  3. Step 3: Cross multiply
    327,585.88x = 491,388.54 × 90,946
  4. Step 4: Simplify right side
    327,585.88x = 44,689,822,158.84
  5. Step 5: Solve for x
    x = 44,689,822,158.84/327,585.88
  6. Step 6: Final answer
    x = 136,421.70

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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.