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Finding the Fourth Proportional to 278,387.86, 384,182.69 and 151,063.55

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Solution

The fourth proportional to 278,387.86, 384,182.69 and 151,063.55 is: 208,471.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,387.86 : 384,182.69 = 151,063.55 : x
  2. Step 2: Convert to fraction form
    278,387.86/384,182.69 = 151,063.55/x
  3. Step 3: Cross multiply
    278,387.86x = 384,182.69 × 151,063.55
  4. Step 4: Simplify right side
    278,387.86x = 58,036,000,999.95
  5. Step 5: Solve for x
    x = 58,036,000,999.95/278,387.86
  6. Step 6: Final answer
    x = 208,471.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.