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Finding the Fourth Proportional to 278,570.88, 417,789.36 and 195,078.24

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Solution

The fourth proportional to 278,570.88, 417,789.36 and 195,078.24 is: 292,570.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,570.88 : 417,789.36 = 195,078.24 : x
  2. Step 2: Convert to fraction form
    278,570.88/417,789.36 = 195,078.24/x
  3. Step 3: Cross multiply
    278,570.88x = 417,789.36 × 195,078.24
  4. Step 4: Simplify right side
    278,570.88x = 81,501,613,039.53
  5. Step 5: Solve for x
    x = 81,501,613,039.53/278,570.88
  6. Step 6: Final answer
    x = 292,570.47

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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.