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Finding the Fourth Proportional to 403,951.80, 605,417.40 and 204,327.30

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Solution

The fourth proportional to 403,951.80, 605,417.40 and 204,327.30 is: 306,232.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,951.80 : 605,417.40 = 204,327.30 : x
  2. Step 2: Convert to fraction form
    403,951.80/605,417.40 = 204,327.30/x
  3. Step 3: Cross multiply
    403,951.80x = 605,417.40 × 204,327.30
  4. Step 4: Simplify right side
    403,951.80x = 123,703,302,715.02
  5. Step 5: Solve for x
    x = 123,703,302,715.02/403,951.80
  6. Step 6: Final answer
    x = 306,232.83

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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.