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Finding the Fourth Proportional to 499,474.95, 689,255.10 and 284,596.80

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Solution

The fourth proportional to 499,474.95, 689,255.10 and 284,596.80 is: 392,732.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,474.95 : 689,255.10 = 284,596.80 : x
  2. Step 2: Convert to fraction form
    499,474.95/689,255.10 = 284,596.80/x
  3. Step 3: Cross multiply
    499,474.95x = 689,255.10 × 284,596.80
  4. Step 4: Simplify right side
    499,474.95x = 196,159,795,843.68
  5. Step 5: Solve for x
    x = 196,159,795,843.68/499,474.95
  6. Step 6: Final answer
    x = 392,732.00

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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.