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Finding the Fourth Proportional to 408,511.74, 612,784.08 and 142,299.18

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Solution

The fourth proportional to 408,511.74, 612,784.08 and 142,299.18 is: 213,454.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,511.74 : 612,784.08 = 142,299.18 : x
  2. Step 2: Convert to fraction form
    408,511.74/612,784.08 = 142,299.18/x
  3. Step 3: Cross multiply
    408,511.74x = 612,784.08 × 142,299.18
  4. Step 4: Simplify right side
    408,511.74x = 87,198,672,101.05
  5. Step 5: Solve for x
    x = 87,198,672,101.05/408,511.74
  6. Step 6: Final answer
    x = 213,454.51

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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.