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Finding the Fourth Proportional to 403,785.30, 605,532.15 and 204,039.30

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Solution

The fourth proportional to 403,785.30, 605,532.15 and 204,039.30 is: 305,985.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,785.30 : 605,532.15 = 204,039.30 : x
  2. Step 2: Convert to fraction form
    403,785.30/605,532.15 = 204,039.30/x
  3. Step 3: Cross multiply
    403,785.30x = 605,532.15 × 204,039.30
  4. Step 4: Simplify right side
    403,785.30x = 123,552,356,013.50
  5. Step 5: Solve for x
    x = 123,552,356,013.50/403,785.30
  6. Step 6: Final answer
    x = 305,985.27

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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.