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Finding the Fourth Proportional to 287,980.20, 431,387.10 and 199,333.80

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Solution

The fourth proportional to 287,980.20, 431,387.10 and 199,333.80 is: 298,597.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,980.20 : 431,387.10 = 199,333.80 : x
  2. Step 2: Convert to fraction form
    287,980.20/431,387.10 = 199,333.80/x
  3. Step 3: Cross multiply
    287,980.20x = 431,387.10 × 199,333.80
  4. Step 4: Simplify right side
    287,980.20x = 85,990,029,913.98
  5. Step 5: Solve for x
    x = 85,990,029,913.98/287,980.20
  6. Step 6: Final answer
    x = 298,597.02

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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.