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Finding the Fourth Proportional to 459,910.15, 689,980.20 and 452,281.78

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Solution

The fourth proportional to 459,910.15, 689,980.20 and 452,281.78 is: 678,535.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,910.15 : 689,980.20 = 452,281.78 : x
  2. Step 2: Convert to fraction form
    459,910.15/689,980.20 = 452,281.78/x
  3. Step 3: Cross multiply
    459,910.15x = 689,980.20 × 452,281.78
  4. Step 4: Simplify right side
    459,910.15x = 312,065,469,578.08
  5. Step 5: Solve for x
    x = 312,065,469,578.08/459,910.15
  6. Step 6: Final answer
    x = 678,535.73

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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.