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Finding the Fourth Proportional to 271,934.32, 407,859.36 and 138,912.88

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Solution

The fourth proportional to 271,934.32, 407,859.36 and 138,912.88 is: 208,347.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,934.32 : 407,859.36 = 138,912.88 : x
  2. Step 2: Convert to fraction form
    271,934.32/407,859.36 = 138,912.88/x
  3. Step 3: Cross multiply
    271,934.32x = 407,859.36 × 138,912.88
  4. Step 4: Simplify right side
    271,934.32x = 56,656,918,332.56
  5. Step 5: Solve for x
    x = 56,656,918,332.56/271,934.32
  6. Step 6: Final answer
    x = 208,347.80

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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.