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Finding the Fourth Proportional to 224,195.87, 309,215.34 and 143,630.88

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Solution

The fourth proportional to 224,195.87, 309,215.34 and 143,630.88 is: 198,098.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,195.87 : 309,215.34 = 143,630.88 : x
  2. Step 2: Convert to fraction form
    224,195.87/309,215.34 = 143,630.88/x
  3. Step 3: Cross multiply
    224,195.87x = 309,215.34 × 143,630.88
  4. Step 4: Simplify right side
    224,195.87x = 44,412,871,393.70
  5. Step 5: Solve for x
    x = 44,412,871,393.70/224,195.87
  6. Step 6: Final answer
    x = 198,098.53

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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.