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Finding the Fourth Proportional to 278,639.97, 384,527.61 and 157,777.98

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Solution

The fourth proportional to 278,639.97, 384,527.61 and 157,777.98 is: 217,736.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,639.97 : 384,527.61 = 157,777.98 : x
  2. Step 2: Convert to fraction form
    278,639.97/384,527.61 = 157,777.98/x
  3. Step 3: Cross multiply
    278,639.97x = 384,527.61 × 157,777.98
  4. Step 4: Simplify right side
    278,639.97x = 60,669,989,560.03
  5. Step 5: Solve for x
    x = 60,669,989,560.03/278,639.97
  6. Step 6: Final answer
    x = 217,736.13

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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.