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Finding the Fourth Proportional to 306,558.46, 459,832.38 and 137,959.48

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Solution

The fourth proportional to 306,558.46, 459,832.38 and 137,959.48 is: 206,936.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,558.46 : 459,832.38 = 137,959.48 : x
  2. Step 2: Convert to fraction form
    306,558.46/459,832.38 = 137,959.48/x
  3. Step 3: Cross multiply
    306,558.46x = 459,832.38 × 137,959.48
  4. Step 4: Simplify right side
    306,558.46x = 63,438,236,031.96
  5. Step 5: Solve for x
    x = 63,438,236,031.96/306,558.46
  6. Step 6: Final answer
    x = 206,936.83

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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.