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Finding the Fourth Proportional to 403,622.70, 605,090.28 and 178,860.61

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Solution

The fourth proportional to 403,622.70, 605,090.28 and 178,860.61 is: 268,138.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,622.70 : 605,090.28 = 178,860.61 : x
  2. Step 2: Convert to fraction form
    403,622.70/605,090.28 = 178,860.61/x
  3. Step 3: Cross multiply
    403,622.70x = 605,090.28 × 178,860.61
  4. Step 4: Simplify right side
    403,622.70x = 108,226,813,100.19
  5. Step 5: Solve for x
    x = 108,226,813,100.19/403,622.70
  6. Step 6: Final answer
    x = 268,138.57

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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.