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Finding the Fourth Proportional to 340,283.32, 510,049.10 and 140,493.56

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Solution

The fourth proportional to 340,283.32, 510,049.10 and 140,493.56 is: 210,585.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,283.32 : 510,049.10 = 140,493.56 : x
  2. Step 2: Convert to fraction form
    340,283.32/510,049.10 = 140,493.56/x
  3. Step 3: Cross multiply
    340,283.32x = 510,049.10 × 140,493.56
  4. Step 4: Simplify right side
    340,283.32x = 71,658,613,833.80
  5. Step 5: Solve for x
    x = 71,658,613,833.80/340,283.32
  6. Step 6: Final answer
    x = 210,585.15

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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.