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Finding the Fourth Proportional to 425,415.38, 638,057.46 and 188,716.38

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Solution

The fourth proportional to 425,415.38, 638,057.46 and 188,716.38 is: 283,045.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,415.38 : 638,057.46 = 188,716.38 : x
  2. Step 2: Convert to fraction form
    425,415.38/638,057.46 = 188,716.38/x
  3. Step 3: Cross multiply
    425,415.38x = 638,057.46 × 188,716.38
  4. Step 4: Simplify right side
    425,415.38x = 120,411,894,083.20
  5. Step 5: Solve for x
    x = 120,411,894,083.20/425,415.38
  6. Step 6: Final answer
    x = 283,045.47

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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.