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Finding the Fourth Proportional to 278,141.00, 416,930.11 and 109,595.79

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Solution

The fourth proportional to 278,141.00, 416,930.11 and 109,595.79 is: 164,282.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,141.00 : 416,930.11 = 109,595.79 : x
  2. Step 2: Convert to fraction form
    278,141.00/416,930.11 = 109,595.79/x
  3. Step 3: Cross multiply
    278,141.00x = 416,930.11 × 109,595.79
  4. Step 4: Simplify right side
    278,141.00x = 45,693,784,506.25
  5. Step 5: Solve for x
    x = 45,693,784,506.25/278,141.00
  6. Step 6: Final answer
    x = 164,282.81

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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.