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Finding the Fourth Proportional to 418,201.84, 627,306 and 102,661.48

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Solution

The fourth proportional to 418,201.84, 627,306 and 102,661.48 is: 153,993.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,201.84 : 627,306 = 102,661.48 : x
  2. Step 2: Convert to fraction form
    418,201.84/627,306 = 102,661.48/x
  3. Step 3: Cross multiply
    418,201.84x = 627,306 × 102,661.48
  4. Step 4: Simplify right side
    418,201.84x = 64,400,162,372.88
  5. Step 5: Solve for x
    x = 64,400,162,372.88/418,201.84
  6. Step 6: Final answer
    x = 153,993.02

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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.