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Finding the Fourth Proportional to 278,214.80, 417,322.20 and 166,021.70

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Solution

The fourth proportional to 278,214.80, 417,322.20 and 166,021.70 is: 249,032.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,214.80 : 417,322.20 = 166,021.70 : x
  2. Step 2: Convert to fraction form
    278,214.80/417,322.20 = 166,021.70/x
  3. Step 3: Cross multiply
    278,214.80x = 417,322.20 × 166,021.70
  4. Step 4: Simplify right side
    278,214.80x = 69,284,541,091.74
  5. Step 5: Solve for x
    x = 69,284,541,091.74/278,214.80
  6. Step 6: Final answer
    x = 249,032.55

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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.