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Finding the Fourth Proportional to 412,367.10, 618,550.65 and 278,522.70

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Solution

The fourth proportional to 412,367.10, 618,550.65 and 278,522.70 is: 417,784.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,367.10 : 618,550.65 = 278,522.70 : x
  2. Step 2: Convert to fraction form
    412,367.10/618,550.65 = 278,522.70/x
  3. Step 3: Cross multiply
    412,367.10x = 618,550.65 × 278,522.70
  4. Step 4: Simplify right side
    412,367.10x = 172,280,397,124.76
  5. Step 5: Solve for x
    x = 172,280,397,124.76/412,367.10
  6. Step 6: Final answer
    x = 417,784.05

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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.