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Finding the Fourth Proportional to 278,641.37, 417,907.64 and 89,050.88

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Solution

The fourth proportional to 278,641.37, 417,907.64 and 89,050.88 is: 133,558.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,641.37 : 417,907.64 = 89,050.88 : x
  2. Step 2: Convert to fraction form
    278,641.37/417,907.64 = 89,050.88/x
  3. Step 3: Cross multiply
    278,641.37x = 417,907.64 × 89,050.88
  4. Step 4: Simplify right side
    278,641.37x = 37,215,040,565.93
  5. Step 5: Solve for x
    x = 37,215,040,565.93/278,641.37
  6. Step 6: Final answer
    x = 133,558.92

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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.