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Finding the Fourth Proportional to 403,962.80, 605,798.40 and 204,216.80

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Solution

The fourth proportional to 403,962.80, 605,798.40 and 204,216.80 is: 306,251.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,962.80 : 605,798.40 = 204,216.80 : x
  2. Step 2: Convert to fraction form
    403,962.80/605,798.40 = 204,216.80/x
  3. Step 3: Cross multiply
    403,962.80x = 605,798.40 × 204,216.80
  4. Step 4: Simplify right side
    403,962.80x = 123,714,210,693.12
  5. Step 5: Solve for x
    x = 123,714,210,693.12/403,962.80
  6. Step 6: Final answer
    x = 306,251.49

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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.