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Finding the Fourth Proportional to 499,627.89, 689,469.30 and 284,837.13

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Solution

The fourth proportional to 499,627.89, 689,469.30 and 284,837.13 is: 393,065.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,627.89 : 689,469.30 = 284,837.13 : x
  2. Step 2: Convert to fraction form
    499,627.89/689,469.30 = 284,837.13/x
  3. Step 3: Cross multiply
    499,627.89x = 689,469.30 × 284,837.13
  4. Step 4: Simplify right side
    499,627.89x = 196,386,456,635.11
  5. Step 5: Solve for x
    x = 196,386,456,635.11/499,627.89
  6. Step 6: Final answer
    x = 393,065.44

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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.