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Finding the Fourth Proportional to 265,177.40, 397,728.72 and 138,776.09

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Solution

The fourth proportional to 265,177.40, 397,728.72 and 138,776.09 is: 208,144.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,177.40 : 397,728.72 = 138,776.09 : x
  2. Step 2: Convert to fraction form
    265,177.40/397,728.72 = 138,776.09/x
  3. Step 3: Cross multiply
    265,177.40x = 397,728.72 × 138,776.09
  4. Step 4: Simplify right side
    265,177.40x = 55,195,234,653.66
  5. Step 5: Solve for x
    x = 55,195,234,653.66/265,177.40
  6. Step 6: Final answer
    x = 208,144.57

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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.