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Finding the Fourth Proportional to 418,260.16, 627,392.34 and 102,717.16

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Solution

The fourth proportional to 418,260.16, 627,392.34 and 102,717.16 is: 154,076.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,260.16 : 627,392.34 = 102,717.16 : x
  2. Step 2: Convert to fraction form
    418,260.16/627,392.34 = 102,717.16/x
  3. Step 3: Cross multiply
    418,260.16x = 627,392.34 × 102,717.16
  4. Step 4: Simplify right side
    418,260.16x = 64,443,959,370.55
  5. Step 5: Solve for x
    x = 64,443,959,370.55/418,260.16
  6. Step 6: Final answer
    x = 154,076.26

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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.