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Finding the Fourth Proportional to 265,178.16, 397,729.85 and 138,776.85

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Solution

The fourth proportional to 265,178.16, 397,729.85 and 138,776.85 is: 208,145.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,178.16 : 397,729.85 = 138,776.85 : x
  2. Step 2: Convert to fraction form
    265,178.16/397,729.85 = 138,776.85/x
  3. Step 3: Cross multiply
    265,178.16x = 397,729.85 × 138,776.85
  4. Step 4: Simplify right side
    265,178.16x = 55,195,695,040.09
  5. Step 5: Solve for x
    x = 55,195,695,040.09/265,178.16
  6. Step 6: Final answer
    x = 208,145.70

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1.5x scale

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.