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Finding the Fourth Proportional to 403,901.20, 605,851.80 and 204,835.60

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Solution

The fourth proportional to 403,901.20, 605,851.80 and 204,835.60 is: 307,253.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,901.20 : 605,851.80 = 204,835.60 : x
  2. Step 2: Convert to fraction form
    403,901.20/605,851.80 = 204,835.60/x
  3. Step 3: Cross multiply
    403,901.20x = 605,851.80 × 204,835.60
  4. Step 4: Simplify right side
    403,901.20x = 124,100,016,964.08
  5. Step 5: Solve for x
    x = 124,100,016,964.08/403,901.20
  6. Step 6: Final answer
    x = 307,253.40

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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.