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Finding the Fourth Proportional to 274,542, 378,874.36 and 153,680.24

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Solution

The fourth proportional to 274,542, 378,874.36 and 153,680.24 is: 212,082.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,542 : 378,874.36 = 153,680.24 : x
  2. Step 2: Convert to fraction form
    274,542/378,874.36 = 153,680.24/x
  3. Step 3: Cross multiply
    274,542x = 378,874.36 × 153,680.24
  4. Step 4: Simplify right side
    274,542x = 58,225,502,574.65
  5. Step 5: Solve for x
    x = 58,225,502,574.65/274,542
  6. Step 6: Final answer
    x = 212,082.31

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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.