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Finding the Fourth Proportional to 407,959.60, 612,050.16 and 123,638.68

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Solution

The fourth proportional to 407,959.60, 612,050.16 and 123,638.68 is: 185,491.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,959.60 : 612,050.16 = 123,638.68 : x
  2. Step 2: Convert to fraction form
    407,959.60/612,050.16 = 123,638.68/x
  3. Step 3: Cross multiply
    407,959.60x = 612,050.16 × 123,638.68
  4. Step 4: Simplify right side
    407,959.60x = 75,673,073,876.19
  5. Step 5: Solve for x
    x = 75,673,073,876.19/407,959.60
  6. Step 6: Final answer
    x = 185,491.59

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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.