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Finding the Fourth Proportional to 279,909.40, 419,864.10 and 92,920.90

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Solution

The fourth proportional to 279,909.40, 419,864.10 and 92,920.90 is: 139,381.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,909.40 : 419,864.10 = 92,920.90 : x
  2. Step 2: Convert to fraction form
    279,909.40/419,864.10 = 92,920.90/x
  3. Step 3: Cross multiply
    279,909.40x = 419,864.10 × 92,920.90
  4. Step 4: Simplify right side
    279,909.40x = 39,014,150,049.69
  5. Step 5: Solve for x
    x = 39,014,150,049.69/279,909.40
  6. Step 6: Final answer
    x = 139,381.35

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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.