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Finding the Fourth Proportional to 412,368.60, 618,552.90 and 278,524.20

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Solution

The fourth proportional to 412,368.60, 618,552.90 and 278,524.20 is: 417,786.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,368.60 : 618,552.90 = 278,524.20 : x
  2. Step 2: Convert to fraction form
    412,368.60/618,552.90 = 278,524.20/x
  3. Step 3: Cross multiply
    412,368.60x = 618,552.90 × 278,524.20
  4. Step 4: Simplify right side
    412,368.60x = 172,281,951,630.18
  5. Step 5: Solve for x
    x = 172,281,951,630.18/412,368.60
  6. Step 6: Final answer
    x = 417,786.30

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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.