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Finding the Fourth Proportional to 278,166.78, 417,421.48 and 109,658.43

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Solution

The fourth proportional to 278,166.78, 417,421.48 and 109,658.43 is: 164,555.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,166.78 : 417,421.48 = 109,658.43 : x
  2. Step 2: Convert to fraction form
    278,166.78/417,421.48 = 109,658.43/x
  3. Step 3: Cross multiply
    278,166.78x = 417,421.48 × 109,658.43
  4. Step 4: Simplify right side
    278,166.78x = 45,773,782,057.97
  5. Step 5: Solve for x
    x = 45,773,782,057.97/278,166.78
  6. Step 6: Final answer
    x = 164,555.17

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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.