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Finding the Fourth Proportional to 279,658.26, 419,483.34 and 69,294.78

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Solution

The fourth proportional to 279,658.26, 419,483.34 and 69,294.78 is: 103,941.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,658.26 : 419,483.34 = 69,294.78 : x
  2. Step 2: Convert to fraction form
    279,658.26/419,483.34 = 69,294.78/x
  3. Step 3: Cross multiply
    279,658.26x = 419,483.34 × 69,294.78
  4. Step 4: Simplify right side
    279,658.26x = 29,068,005,758.97
  5. Step 5: Solve for x
    x = 29,068,005,758.97/279,658.26
  6. Step 6: Final answer
    x = 103,941.17

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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.