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Finding the Fourth Proportional to 459,759.80, 689,229.30 and 179,211.80

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Solution

The fourth proportional to 459,759.80, 689,229.30 and 179,211.80 is: 268,657.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,759.80 : 689,229.30 = 179,211.80 : x
  2. Step 2: Convert to fraction form
    459,759.80/689,229.30 = 179,211.80/x
  3. Step 3: Cross multiply
    459,759.80x = 689,229.30 × 179,211.80
  4. Step 4: Simplify right side
    459,759.80x = 123,518,023,465.74
  5. Step 5: Solve for x
    x = 123,518,023,465.74/459,759.80
  6. Step 6: Final answer
    x = 268,657.73

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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.