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Finding the Fourth Proportional to 266,209.74, 398,679.57 and 147,586.86

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Solution

The fourth proportional to 266,209.74, 398,679.57 and 147,586.86 is: 221,028.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,209.74 : 398,679.57 = 147,586.86 : x
  2. Step 2: Convert to fraction form
    266,209.74/398,679.57 = 147,586.86/x
  3. Step 3: Cross multiply
    266,209.74x = 398,679.57 × 147,586.86
  4. Step 4: Simplify right side
    266,209.74x = 58,839,865,882.45
  5. Step 5: Solve for x
    x = 58,839,865,882.45/266,209.74
  6. Step 6: Final answer
    x = 221,028.22

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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.