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Finding the Fourth Proportional to 217,451.70, 299,805.49 and 140,835.38

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Solution

The fourth proportional to 217,451.70, 299,805.49 and 140,835.38 is: 194,172.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,451.70 : 299,805.49 = 140,835.38 : x
  2. Step 2: Convert to fraction form
    217,451.70/299,805.49 = 140,835.38/x
  3. Step 3: Cross multiply
    217,451.70x = 299,805.49 × 140,835.38
  4. Step 4: Simplify right side
    217,451.70x = 42,223,220,110.24
  5. Step 5: Solve for x
    x = 42,223,220,110.24/217,451.70
  6. Step 6: Final answer
    x = 194,172.87

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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.