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Finding the Fourth Proportional to 254,134.32, 380,720.32 and 169,639.70

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Solution

The fourth proportional to 254,134.32, 380,720.32 and 169,639.70 is: 254,138.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,134.32 : 380,720.32 = 169,639.70 : x
  2. Step 2: Convert to fraction form
    254,134.32/380,720.32 = 169,639.70/x
  3. Step 3: Cross multiply
    254,134.32x = 380,720.32 × 169,639.70
  4. Step 4: Simplify right side
    254,134.32x = 64,585,280,868.70
  5. Step 5: Solve for x
    x = 64,585,280,868.70/254,134.32
  6. Step 6: Final answer
    x = 254,138.37

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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.