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Finding the Fourth Proportional to 498,058.72, 687,317.81 and 283,198.78

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Solution

The fourth proportional to 498,058.72, 687,317.81 and 283,198.78 is: 390,812.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,058.72 : 687,317.81 = 283,198.78 : x
  2. Step 2: Convert to fraction form
    498,058.72/687,317.81 = 283,198.78/x
  3. Step 3: Cross multiply
    498,058.72x = 687,317.81 × 283,198.78
  4. Step 4: Simplify right side
    498,058.72x = 194,647,564,707.43
  5. Step 5: Solve for x
    x = 194,647,564,707.43/498,058.72
  6. Step 6: Final answer
    x = 390,812.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.