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Finding the Fourth Proportional to 408,078.60, 612,117.90 and 342,760.20

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Solution

The fourth proportional to 408,078.60, 612,117.90 and 342,760.20 is: 514,140.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,078.60 : 612,117.90 = 342,760.20 : x
  2. Step 2: Convert to fraction form
    408,078.60/612,117.90 = 342,760.20/x
  3. Step 3: Cross multiply
    408,078.60x = 612,117.90 × 342,760.20
  4. Step 4: Simplify right side
    408,078.60x = 209,809,653,827.58
  5. Step 5: Solve for x
    x = 209,809,653,827.58/408,078.60
  6. Step 6: Final answer
    x = 514,140.30

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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.