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Finding the Fourth Proportional to 274,083.72, 378,234 and 153,225.24

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Solution

The fourth proportional to 274,083.72, 378,234 and 153,225.24 is: 211,449.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,083.72 : 378,234 = 153,225.24 : x
  2. Step 2: Convert to fraction form
    274,083.72/378,234 = 153,225.24/x
  3. Step 3: Cross multiply
    274,083.72x = 378,234 × 153,225.24
  4. Step 4: Simplify right side
    274,083.72x = 57,954,995,426.16
  5. Step 5: Solve for x
    x = 57,954,995,426.16/274,083.72
  6. Step 6: Final answer
    x = 211,449.97

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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.