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Finding the Fourth Proportional to 459,700.20, 689,550.30 and 408,961.80

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Solution

The fourth proportional to 459,700.20, 689,550.30 and 408,961.80 is: 613,442.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,700.20 : 689,550.30 = 408,961.80 : x
  2. Step 2: Convert to fraction form
    459,700.20/689,550.30 = 408,961.80/x
  3. Step 3: Cross multiply
    459,700.20x = 689,550.30 × 408,961.80
  4. Step 4: Simplify right side
    459,700.20x = 281,999,731,878.54
  5. Step 5: Solve for x
    x = 281,999,731,878.54/459,700.20
  6. Step 6: Final answer
    x = 613,442.70

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1.5x scale

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.