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Finding the Fourth Proportional to 498,443.88, 687,843.68 and 283,579.32

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Solution

The fourth proportional to 498,443.88, 687,843.68 and 283,579.32 is: 391,334.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,443.88 : 687,843.68 = 283,579.32 : x
  2. Step 2: Convert to fraction form
    498,443.88/687,843.68 = 283,579.32/x
  3. Step 3: Cross multiply
    498,443.88x = 687,843.68 × 283,579.32
  4. Step 4: Simplify right side
    498,443.88x = 195,058,243,040.70
  5. Step 5: Solve for x
    x = 195,058,243,040.70/498,443.88
  6. Step 6: Final answer
    x = 391,334.41

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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.