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Finding the Fourth Proportional to 226,591.74, 312,711.89 and 149,978.84

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Solution

The fourth proportional to 226,591.74, 312,711.89 and 149,978.84 is: 206,980.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,591.74 : 312,711.89 = 149,978.84 : x
  2. Step 2: Convert to fraction form
    226,591.74/312,711.89 = 149,978.84/x
  3. Step 3: Cross multiply
    226,591.74x = 312,711.89 × 149,978.84
  4. Step 4: Simplify right side
    226,591.74x = 46,900,164,202.95
  5. Step 5: Solve for x
    x = 46,900,164,202.95/226,591.74
  6. Step 6: Final answer
    x = 206,980.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.