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Finding the Fourth Proportional to 266,123.20, 398,212.80 and 196,139.20

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Solution

The fourth proportional to 266,123.20, 398,212.80 and 196,139.20 is: 293,492.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,123.20 : 398,212.80 = 196,139.20 : x
  2. Step 2: Convert to fraction form
    266,123.20/398,212.80 = 196,139.20/x
  3. Step 3: Cross multiply
    266,123.20x = 398,212.80 × 196,139.20
  4. Step 4: Simplify right side
    266,123.20x = 78,105,140,021.76
  5. Step 5: Solve for x
    x = 78,105,140,021.76/266,123.20
  6. Step 6: Final answer
    x = 293,492.41

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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.