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Finding the Fourth Proportional to 279,170.40, 418,885.20 and 146,200.80

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Solution

The fourth proportional to 279,170.40, 418,885.20 and 146,200.80 is: 219,369.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,170.40 : 418,885.20 = 146,200.80 : x
  2. Step 2: Convert to fraction form
    279,170.40/418,885.20 = 146,200.80/x
  3. Step 3: Cross multiply
    279,170.40x = 418,885.20 × 146,200.80
  4. Step 4: Simplify right side
    279,170.40x = 61,241,351,348.16
  5. Step 5: Solve for x
    x = 61,241,351,348.16/279,170.40
  6. Step 6: Final answer
    x = 219,369.07

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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.