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Finding the Fourth Proportional to 278,166.28, 417,420.73 and 109,657.93

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Solution

The fourth proportional to 278,166.28, 417,420.73 and 109,657.93 is: 164,554.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,166.28 : 417,420.73 = 109,657.93 : x
  2. Step 2: Convert to fraction form
    278,166.28/417,420.73 = 109,657.93/x
  3. Step 3: Cross multiply
    278,166.28x = 417,420.73 × 109,657.93
  4. Step 4: Simplify right side
    278,166.28x = 45,773,491,103.79
  5. Step 5: Solve for x
    x = 45,773,491,103.79/278,166.28
  6. Step 6: Final answer
    x = 164,554.42

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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.