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Finding the Fourth Proportional to 274,508.38, 378,838.38 and 153,657.19

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Solution

The fourth proportional to 274,508.38, 378,838.38 and 153,657.19 is: 212,056.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,508.38 : 378,838.38 = 153,657.19 : x
  2. Step 2: Convert to fraction form
    274,508.38/378,838.38 = 153,657.19/x
  3. Step 3: Cross multiply
    274,508.38x = 378,838.38 × 153,657.19
  4. Step 4: Simplify right side
    274,508.38x = 58,211,240,934.95
  5. Step 5: Solve for x
    x = 58,211,240,934.95/274,508.38
  6. Step 6: Final answer
    x = 212,056.33

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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.