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Finding the Fourth Proportional to 305,138.53, 421,134.76 and 169,202.71

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Solution

The fourth proportional to 305,138.53, 421,134.76 and 169,202.71 is: 233,523.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,138.53 : 421,134.76 = 169,202.71 : x
  2. Step 2: Convert to fraction form
    305,138.53/421,134.76 = 169,202.71/x
  3. Step 3: Cross multiply
    305,138.53x = 421,134.76 × 169,202.71
  4. Step 4: Simplify right side
    305,138.53x = 71,257,142,667.20
  5. Step 5: Solve for x
    x = 71,257,142,667.20/305,138.53
  6. Step 6: Final answer
    x = 233,523.91

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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.