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Finding the Fourth Proportional to 274,509.38, 378,839.76 and 153,658.20

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Solution

The fourth proportional to 274,509.38, 378,839.76 and 153,658.20 is: 212,057.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,509.38 : 378,839.76 = 153,658.20 : x
  2. Step 2: Convert to fraction form
    274,509.38/378,839.76 = 153,658.20/x
  3. Step 3: Cross multiply
    274,509.38x = 378,839.76 × 153,658.20
  4. Step 4: Simplify right side
    274,509.38x = 58,211,835,610.03
  5. Step 5: Solve for x
    x = 58,211,835,610.03/274,509.38
  6. Step 6: Final answer
    x = 212,057.73

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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.