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Finding the Fourth Proportional to 254,135.32, 380,721.80 and 169,640.72

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Solution

The fourth proportional to 254,135.32, 380,721.80 and 169,640.72 is: 254,139.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,135.32 : 380,721.80 = 169,640.72 : x
  2. Step 2: Convert to fraction form
    254,135.32/380,721.80 = 169,640.72/x
  3. Step 3: Cross multiply
    254,135.32x = 380,721.80 × 169,640.72
  4. Step 4: Simplify right side
    254,135.32x = 64,585,920,271.70
  5. Step 5: Solve for x
    x = 64,585,920,271.70/254,135.32
  6. Step 6: Final answer
    x = 254,139.88

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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.