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Finding the Fourth Proportional to 311,139, 466,708.52 and 89,523

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Solution

The fourth proportional to 311,139, 466,708.52 and 89,523 is: 134,284.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,139 : 466,708.52 = 89,523 : x
  2. Step 2: Convert to fraction form
    311,139/466,708.52 = 89,523/x
  3. Step 3: Cross multiply
    311,139x = 466,708.52 × 89,523
  4. Step 4: Simplify right side
    311,139x = 41,781,146,835.96
  5. Step 5: Solve for x
    x = 41,781,146,835.96/311,139
  6. Step 6: Final answer
    x = 134,284.51

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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.