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Finding the Fourth Proportional to 418,991.24, 628,585.34 and 138,508.52

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Solution

The fourth proportional to 418,991.24, 628,585.34 and 138,508.52 is: 207,795.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,991.24 : 628,585.34 = 138,508.52 : x
  2. Step 2: Convert to fraction form
    418,991.24/628,585.34 = 138,508.52/x
  3. Step 3: Cross multiply
    418,991.24x = 628,585.34 × 138,508.52
  4. Step 4: Simplify right side
    418,991.24x = 87,064,425,137.10
  5. Step 5: Solve for x
    x = 87,064,425,137.10/418,991.24
  6. Step 6: Final answer
    x = 207,795.34

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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.