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Finding the Fourth Proportional to 439,920, 659,865.96 and 140,418.81

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Solution

The fourth proportional to 439,920, 659,865.96 and 140,418.81 is: 210,623.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,920 : 659,865.96 = 140,418.81 : x
  2. Step 2: Convert to fraction form
    439,920/659,865.96 = 140,418.81/x
  3. Step 3: Cross multiply
    439,920x = 659,865.96 × 140,418.81
  4. Step 4: Simplify right side
    439,920x = 92,657,592,862.71
  5. Step 5: Solve for x
    x = 92,657,592,862.71/439,920
  6. Step 6: Final answer
    x = 210,623.73

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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.