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Finding the Fourth Proportional to 277,767.76, 416,671.26 and 137,488.72

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Solution

The fourth proportional to 277,767.76, 416,671.26 and 137,488.72 is: 206,242.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,767.76 : 416,671.26 = 137,488.72 : x
  2. Step 2: Convert to fraction form
    277,767.76/416,671.26 = 137,488.72/x
  3. Step 3: Cross multiply
    277,767.76x = 416,671.26 × 137,488.72
  4. Step 4: Simplify right side
    277,767.76x = 57,287,598,198.19
  5. Step 5: Solve for x
    x = 57,287,598,198.19/277,767.76
  6. Step 6: Final answer
    x = 206,242.79

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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.