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Finding the Fourth Proportional to 254,209.64, 350,815.80 and 139,493.20

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Solution

The fourth proportional to 254,209.64, 350,815.80 and 139,493.20 is: 192,504.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,209.64 : 350,815.80 = 139,493.20 : x
  2. Step 2: Convert to fraction form
    254,209.64/350,815.80 = 139,493.20/x
  3. Step 3: Cross multiply
    254,209.64x = 350,815.80 × 139,493.20
  4. Step 4: Simplify right side
    254,209.64x = 48,936,418,552.56
  5. Step 5: Solve for x
    x = 48,936,418,552.56/254,209.64
  6. Step 6: Final answer
    x = 192,504.18

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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.