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Finding the Fourth Proportional to 560,478.40, 773,478.84 and 305,843.56

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Solution

The fourth proportional to 560,478.40, 773,478.84 and 305,843.56 is: 422,074.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,478.40 : 773,478.84 = 305,843.56 : x
  2. Step 2: Convert to fraction form
    560,478.40/773,478.84 = 305,843.56/x
  3. Step 3: Cross multiply
    560,478.40x = 773,478.84 × 305,843.56
  4. Step 4: Simplify right side
    560,478.40x = 236,563,522,010.27
  5. Step 5: Solve for x
    x = 236,563,522,010.27/560,478.40
  6. Step 6: Final answer
    x = 422,074.29

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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.