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Finding the Fourth Proportional to 203,217.29, 280,427.84 and 111,318.29

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Solution

The fourth proportional to 203,217.29, 280,427.84 and 111,318.29 is: 153,612.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,217.29 : 280,427.84 = 111,318.29 : x
  2. Step 2: Convert to fraction form
    203,217.29/280,427.84 = 111,318.29/x
  3. Step 3: Cross multiply
    203,217.29x = 280,427.84 × 111,318.29
  4. Step 4: Simplify right side
    203,217.29x = 31,216,747,617.19
  5. Step 5: Solve for x
    x = 31,216,747,617.19/203,217.29
  6. Step 6: Final answer
    x = 153,612.66

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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.