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Finding the Fourth Proportional to 278,804.10, 384,737.12 and 157,942.92

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Solution

The fourth proportional to 278,804.10, 384,737.12 and 157,942.92 is: 217,954.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,804.10 : 384,737.12 = 157,942.92 : x
  2. Step 2: Convert to fraction form
    278,804.10/384,737.12 = 157,942.92/x
  3. Step 3: Cross multiply
    278,804.10x = 384,737.12 × 157,942.92
  4. Step 4: Simplify right side
    278,804.10x = 60,766,506,298.95
  5. Step 5: Solve for x
    x = 60,766,506,298.95/278,804.10
  6. Step 6: Final answer
    x = 217,954.13

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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.