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Finding the Fourth Proportional to 267,387.20, 401,080.80 and 214,899.20

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Solution

The fourth proportional to 267,387.20, 401,080.80 and 214,899.20 is: 322,348.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,387.20 : 401,080.80 = 214,899.20 : x
  2. Step 2: Convert to fraction form
    267,387.20/401,080.80 = 214,899.20/x
  3. Step 3: Cross multiply
    267,387.20x = 401,080.80 × 214,899.20
  4. Step 4: Simplify right side
    267,387.20x = 86,191,943,055.36
  5. Step 5: Solve for x
    x = 86,191,943,055.36/267,387.20
  6. Step 6: Final answer
    x = 322,348.80

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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.