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Finding the Fourth Proportional to 259,314.75, 357,854.42 and 140,082.75

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Solution

The fourth proportional to 259,314.75, 357,854.42 and 140,082.75 is: 193,314.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,314.75 : 357,854.42 = 140,082.75 : x
  2. Step 2: Convert to fraction form
    259,314.75/357,854.42 = 140,082.75/x
  3. Step 3: Cross multiply
    259,314.75x = 357,854.42 × 140,082.75
  4. Step 4: Simplify right side
    259,314.75x = 50,129,231,603.46
  5. Step 5: Solve for x
    x = 50,129,231,603.46/259,314.75
  6. Step 6: Final answer
    x = 193,314.23

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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.