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Finding the Fourth Proportional to 403,841.30, 605,616.15 and 204,095.30

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Solution

The fourth proportional to 403,841.30, 605,616.15 and 204,095.30 is: 306,069.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,841.30 : 605,616.15 = 204,095.30 : x
  2. Step 2: Convert to fraction form
    403,841.30/605,616.15 = 204,095.30/x
  3. Step 3: Cross multiply
    403,841.30x = 605,616.15 × 204,095.30
  4. Step 4: Simplify right side
    403,841.30x = 123,603,409,819.10
  5. Step 5: Solve for x
    x = 123,603,409,819.10/403,841.30
  6. Step 6: Final answer
    x = 306,069.26

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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.