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Finding the Fourth Proportional to 205,959.30, 308,420.55 and 135,456.90

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Solution

The fourth proportional to 205,959.30, 308,420.55 and 135,456.90 is: 202,844.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,959.30 : 308,420.55 = 135,456.90 : x
  2. Step 2: Convert to fraction form
    205,959.30/308,420.55 = 135,456.90/x
  3. Step 3: Cross multiply
    205,959.30x = 308,420.55 × 135,456.90
  4. Step 4: Simplify right side
    205,959.30x = 41,777,691,599.30
  5. Step 5: Solve for x
    x = 41,777,691,599.30/205,959.30
  6. Step 6: Final answer
    x = 202,844.40

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1.5x scale

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.