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Finding the Fourth Proportional to 278,024.70, 417,037.09 and 67,662.64

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Solution

The fourth proportional to 278,024.70, 417,037.09 and 67,662.64 is: 101,493.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,024.70 : 417,037.09 = 67,662.64 : x
  2. Step 2: Convert to fraction form
    278,024.70/417,037.09 = 67,662.64/x
  3. Step 3: Cross multiply
    278,024.70x = 417,037.09 × 67,662.64
  4. Step 4: Simplify right side
    278,024.70x = 28,217,830,487.32
  5. Step 5: Solve for x
    x = 28,217,830,487.32/278,024.70
  6. Step 6: Final answer
    x = 101,493.97

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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.