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Finding the Fourth Proportional to 287,998.80, 431,998.20 and 199,227.60

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Solution

The fourth proportional to 287,998.80, 431,998.20 and 199,227.60 is: 298,841.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,998.80 : 431,998.20 = 199,227.60 : x
  2. Step 2: Convert to fraction form
    287,998.80/431,998.20 = 199,227.60/x
  3. Step 3: Cross multiply
    287,998.80x = 431,998.20 × 199,227.60
  4. Step 4: Simplify right side
    287,998.80x = 86,065,964,590.32
  5. Step 5: Solve for x
    x = 86,065,964,590.32/287,998.80
  6. Step 6: Final answer
    x = 298,841.40

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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.