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Finding the Fourth Proportional to 274,573, 378,917.06 and 153,711.24

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Solution

The fourth proportional to 274,573, 378,917.06 and 153,711.24 is: 212,125.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,573 : 378,917.06 = 153,711.24 : x
  2. Step 2: Convert to fraction form
    274,573/378,917.06 = 153,711.24/x
  3. Step 3: Cross multiply
    274,573x = 378,917.06 × 153,711.24
  4. Step 4: Simplify right side
    274,573x = 58,243,811,149.75
  5. Step 5: Solve for x
    x = 58,243,811,149.75/274,573
  6. Step 6: Final answer
    x = 212,125.05

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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.