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Finding the Fourth Proportional to 499,232.44, 689,012.49 and 284,392.90

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Solution

The fourth proportional to 499,232.44, 689,012.49 and 284,392.90 is: 392,503.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,232.44 : 689,012.49 = 284,392.90 : x
  2. Step 2: Convert to fraction form
    499,232.44/689,012.49 = 284,392.90/x
  3. Step 3: Cross multiply
    499,232.44x = 689,012.49 × 284,392.90
  4. Step 4: Simplify right side
    499,232.44x = 195,950,260,167.32
  5. Step 5: Solve for x
    x = 195,950,260,167.32/499,232.44
  6. Step 6: Final answer
    x = 392,503.06

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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.