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Finding the Fourth Proportional to 327,411.54, 491,068.71 and 90,729.54

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Solution

The fourth proportional to 327,411.54, 491,068.71 and 90,729.54 is: 136,080.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,411.54 : 491,068.71 = 90,729.54 : x
  2. Step 2: Convert to fraction form
    327,411.54/491,068.71 = 90,729.54/x
  3. Step 3: Cross multiply
    327,411.54x = 491,068.71 × 90,729.54
  4. Step 4: Simplify right side
    327,411.54x = 44,554,438,166.69
  5. Step 5: Solve for x
    x = 44,554,438,166.69/327,411.54
  6. Step 6: Final answer
    x = 136,080.84

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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.