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Finding the Fourth Proportional to 407,959.18, 611,558.30 and 137,899.41

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Solution

The fourth proportional to 407,959.18, 611,558.30 and 137,899.41 is: 206,720.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,959.18 : 611,558.30 = 137,899.41 : x
  2. Step 2: Convert to fraction form
    407,959.18/611,558.30 = 137,899.41/x
  3. Step 3: Cross multiply
    407,959.18x = 611,558.30 × 137,899.41
  4. Step 4: Simplify right side
    407,959.18x = 84,333,530,279.50
  5. Step 5: Solve for x
    x = 84,333,530,279.50/407,959.18
  6. Step 6: Final answer
    x = 206,720.51

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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.