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Finding the Fourth Proportional to 408,073.60, 612,110.40 and 342,755.20

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Solution

The fourth proportional to 408,073.60, 612,110.40 and 342,755.20 is: 514,132.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,073.60 : 612,110.40 = 342,755.20 : x
  2. Step 2: Convert to fraction form
    408,073.60/612,110.40 = 342,755.20/x
  3. Step 3: Cross multiply
    408,073.60x = 612,110.40 × 342,755.20
  4. Step 4: Simplify right side
    408,073.60x = 209,804,022,574.08
  5. Step 5: Solve for x
    x = 209,804,022,574.08/408,073.60
  6. Step 6: Final answer
    x = 514,132.80

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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.