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Finding the Fourth Proportional to 269,731.20, 404,143.20 and 213,355.20

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Solution

The fourth proportional to 269,731.20, 404,143.20 and 213,355.20 is: 319,674.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,731.20 : 404,143.20 = 213,355.20 : x
  2. Step 2: Convert to fraction form
    269,731.20/404,143.20 = 213,355.20/x
  3. Step 3: Cross multiply
    269,731.20x = 404,143.20 × 213,355.20
  4. Step 4: Simplify right side
    269,731.20x = 86,226,053,264.64
  5. Step 5: Solve for x
    x = 86,226,053,264.64/269,731.20
  6. Step 6: Final answer
    x = 319,674.01

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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.