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Finding the Fourth Proportional to 278,737.98, 384,776.10 and 188,216.52

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Solution

The fourth proportional to 278,737.98, 384,776.10 and 188,216.52 is: 259,818.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,737.98 : 384,776.10 = 188,216.52 : x
  2. Step 2: Convert to fraction form
    278,737.98/384,776.10 = 188,216.52/x
  3. Step 3: Cross multiply
    278,737.98x = 384,776.10 × 188,216.52
  4. Step 4: Simplify right side
    278,737.98x = 72,421,218,521.17
  5. Step 5: Solve for x
    x = 72,421,218,521.17/278,737.98
  6. Step 6: Final answer
    x = 259,818.27

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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.