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Finding the Fourth Proportional to 224,378.62, 309,643.38 and 122,406.26

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Solution

The fourth proportional to 224,378.62, 309,643.38 and 122,406.26 is: 168,921.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,378.62 : 309,643.38 = 122,406.26 : x
  2. Step 2: Convert to fraction form
    224,378.62/309,643.38 = 122,406.26/x
  3. Step 3: Cross multiply
    224,378.62x = 309,643.38 × 122,406.26
  4. Step 4: Simplify right side
    224,378.62x = 37,902,288,079.56
  5. Step 5: Solve for x
    x = 37,902,288,079.56/224,378.62
  6. Step 6: Final answer
    x = 168,921.12

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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.