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Finding the Fourth Proportional to 418,563.64, 627,932.94 and 138,277.72

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Solution

The fourth proportional to 418,563.64, 627,932.94 and 138,277.72 is: 207,445.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,563.64 : 627,932.94 = 138,277.72 : x
  2. Step 2: Convert to fraction form
    418,563.64/627,932.94 = 138,277.72/x
  3. Step 3: Cross multiply
    418,563.64x = 627,932.94 × 138,277.72
  4. Step 4: Simplify right side
    418,563.64x = 86,829,135,256.10
  5. Step 5: Solve for x
    x = 86,829,135,256.10/418,563.64
  6. Step 6: Final answer
    x = 207,445.48

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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.