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Finding the Fourth Proportional to 274,632.85, 378,960.15 and 153,764.65

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Solution

The fourth proportional to 274,632.85, 378,960.15 and 153,764.65 is: 212,176.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,632.85 : 378,960.15 = 153,764.65 : x
  2. Step 2: Convert to fraction form
    274,632.85/378,960.15 = 153,764.65/x
  3. Step 3: Cross multiply
    274,632.85x = 378,960.15 × 153,764.65
  4. Step 4: Simplify right side
    274,632.85x = 58,270,674,828.70
  5. Step 5: Solve for x
    x = 58,270,674,828.70/274,632.85
  6. Step 6: Final answer
    x = 212,176.64

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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.