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Finding the Fourth Proportional to 418,453.44, 627,801.60 and 152,208

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Solution

The fourth proportional to 418,453.44, 627,801.60 and 152,208 is: 228,356.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,453.44 : 627,801.60 = 152,208 : x
  2. Step 2: Convert to fraction form
    418,453.44/627,801.60 = 152,208/x
  3. Step 3: Cross multiply
    418,453.44x = 627,801.60 × 152,208
  4. Step 4: Simplify right side
    418,453.44x = 95,556,425,932.80
  5. Step 5: Solve for x
    x = 95,556,425,932.80/418,453.44
  6. Step 6: Final answer
    x = 228,356.17

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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.