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Finding the Fourth Proportional to 311,948.70, 467,998.65 and 90,332.70

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Solution

The fourth proportional to 311,948.70, 467,998.65 and 90,332.70 is: 135,520.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,948.70 : 467,998.65 = 90,332.70 : x
  2. Step 2: Convert to fraction form
    311,948.70/467,998.65 = 90,332.70/x
  3. Step 3: Cross multiply
    311,948.70x = 467,998.65 × 90,332.70
  4. Step 4: Simplify right side
    311,948.70x = 42,275,581,650.86
  5. Step 5: Solve for x
    x = 42,275,581,650.86/311,948.70
  6. Step 6: Final answer
    x = 135,520.94

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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.