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Finding the Fourth Proportional to 403,964.80, 605,801.40 and 204,218.80

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Solution

The fourth proportional to 403,964.80, 605,801.40 and 204,218.80 is: 306,254.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,964.80 : 605,801.40 = 204,218.80 : x
  2. Step 2: Convert to fraction form
    403,964.80/605,801.40 = 204,218.80/x
  3. Step 3: Cross multiply
    403,964.80x = 605,801.40 × 204,218.80
  4. Step 4: Simplify right side
    403,964.80x = 123,716,034,946.32
  5. Step 5: Solve for x
    x = 123,716,034,946.32/403,964.80
  6. Step 6: Final answer
    x = 306,254.49

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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.