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Finding the Fourth Proportional to 278,089.62, 416,657.69 and 186,733.79

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Solution

The fourth proportional to 278,089.62, 416,657.69 and 186,733.79 is: 279,780.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,089.62 : 416,657.69 = 186,733.79 : x
  2. Step 2: Convert to fraction form
    278,089.62/416,657.69 = 186,733.79/x
  3. Step 3: Cross multiply
    278,089.62x = 416,657.69 × 186,733.79
  4. Step 4: Simplify right side
    278,089.62x = 77,804,069,586.35
  5. Step 5: Solve for x
    x = 77,804,069,586.35/278,089.62
  6. Step 6: Final answer
    x = 279,780.56

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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.