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Finding the Fourth Proportional to 560,785.89, 773,884.32 and 306,137.07

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Solution

The fourth proportional to 560,785.89, 773,884.32 and 306,137.07 is: 422,469.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,785.89 : 773,884.32 = 306,137.07 : x
  2. Step 2: Convert to fraction form
    560,785.89/773,884.32 = 306,137.07/x
  3. Step 3: Cross multiply
    560,785.89x = 773,884.32 × 306,137.07
  4. Step 4: Simplify right side
    560,785.89x = 236,914,678,243.74
  5. Step 5: Solve for x
    x = 236,914,678,243.74/560,785.89
  6. Step 6: Final answer
    x = 422,469.04

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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.