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Finding the Fourth Proportional to 287,992.20, 431,988.30 and 199,345.80

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Solution

The fourth proportional to 287,992.20, 431,988.30 and 199,345.80 is: 299,018.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,992.20 : 431,988.30 = 199,345.80 : x
  2. Step 2: Convert to fraction form
    287,992.20/431,988.30 = 199,345.80/x
  3. Step 3: Cross multiply
    287,992.20x = 431,988.30 × 199,345.80
  4. Step 4: Simplify right side
    287,992.20x = 86,115,053,254.14
  5. Step 5: Solve for x
    x = 86,115,053,254.14/287,992.20
  6. Step 6: Final answer
    x = 299,018.70

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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.