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Finding the Fourth Proportional to 277,754.76, 416,651.76 and 137,475.72

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Solution

The fourth proportional to 277,754.76, 416,651.76 and 137,475.72 is: 206,223.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,754.76 : 416,651.76 = 137,475.72 : x
  2. Step 2: Convert to fraction form
    277,754.76/416,651.76 = 137,475.72/x
  3. Step 3: Cross multiply
    277,754.76x = 416,651.76 × 137,475.72
  4. Step 4: Simplify right side
    277,754.76x = 57,279,500,695.27
  5. Step 5: Solve for x
    x = 57,279,500,695.27/277,754.76
  6. Step 6: Final answer
    x = 206,223.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.