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Finding the Fourth Proportional to 274,000.15, 378,108.32 and 149,818.86

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Solution

The fourth proportional to 274,000.15, 378,108.32 and 149,818.86 is: 206,743.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,000.15 : 378,108.32 = 149,818.86 : x
  2. Step 2: Convert to fraction form
    274,000.15/378,108.32 = 149,818.86/x
  3. Step 3: Cross multiply
    274,000.15x = 378,108.32 × 149,818.86
  4. Step 4: Simplify right side
    274,000.15x = 56,647,756,489.12
  5. Step 5: Solve for x
    x = 56,647,756,489.12/274,000.15
  6. Step 6: Final answer
    x = 206,743.52

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1.5x scale

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.