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Finding the Fourth Proportional to 278,392.96, 417,641.60 and 91,415.04

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Solution

The fourth proportional to 278,392.96, 417,641.60 and 91,415.04 is: 137,139.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,392.96 : 417,641.60 = 91,415.04 : x
  2. Step 2: Convert to fraction form
    278,392.96/417,641.60 = 91,415.04/x
  3. Step 3: Cross multiply
    278,392.96x = 417,641.60 × 91,415.04
  4. Step 4: Simplify right side
    278,392.96x = 38,178,723,569.66
  5. Step 5: Solve for x
    x = 38,178,723,569.66/278,392.96
  6. Step 6: Final answer
    x = 137,139.69

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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.