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Finding the Fourth Proportional to 279,423.40, 419,102.70 and 79,774.60

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Solution

The fourth proportional to 279,423.40, 419,102.70 and 79,774.60 is: 119,652.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,423.40 : 419,102.70 = 79,774.60 : x
  2. Step 2: Convert to fraction form
    279,423.40/419,102.70 = 79,774.60/x
  3. Step 3: Cross multiply
    279,423.40x = 419,102.70 × 79,774.60
  4. Step 4: Simplify right side
    279,423.40x = 33,433,750,251.42
  5. Step 5: Solve for x
    x = 33,433,750,251.42/279,423.40
  6. Step 6: Final answer
    x = 119,652.65

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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.