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Finding the Fourth Proportional to 499,589.85, 689,416.92 and 284,799.12

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Solution

The fourth proportional to 499,589.85, 689,416.92 and 284,799.12 is: 393,013.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,589.85 : 689,416.92 = 284,799.12 : x
  2. Step 2: Convert to fraction form
    499,589.85/689,416.92 = 284,799.12/x
  3. Step 3: Cross multiply
    499,589.85x = 689,416.92 × 284,799.12
  4. Step 4: Simplify right side
    499,589.85x = 196,345,332,129.11
  5. Step 5: Solve for x
    x = 196,345,332,129.11/499,589.85
  6. Step 6: Final answer
    x = 393,013.05

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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.