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Finding the Fourth Proportional to 295,270.80, 442,906.20 and 205,069.20

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Solution

The fourth proportional to 295,270.80, 442,906.20 and 205,069.20 is: 307,603.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,270.80 : 442,906.20 = 205,069.20 : x
  2. Step 2: Convert to fraction form
    295,270.80/442,906.20 = 205,069.20/x
  3. Step 3: Cross multiply
    295,270.80x = 442,906.20 × 205,069.20
  4. Step 4: Simplify right side
    295,270.80x = 90,826,420,109.04
  5. Step 5: Solve for x
    x = 90,826,420,109.04/295,270.80
  6. Step 6: Final answer
    x = 307,603.80

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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.