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Finding the Fourth Proportional to 560,478.09, 773,478.42 and 305,843.25

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Solution

The fourth proportional to 560,478.09, 773,478.42 and 305,843.25 is: 422,073.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,478.09 : 773,478.42 = 305,843.25 : x
  2. Step 2: Convert to fraction form
    560,478.09/773,478.42 = 305,843.25/x
  3. Step 3: Cross multiply
    560,478.09x = 773,478.42 × 305,843.25
  4. Step 4: Simplify right side
    560,478.09x = 236,563,153,777.67
  5. Step 5: Solve for x
    x = 236,563,153,777.67/560,478.09
  6. Step 6: Final answer
    x = 422,073.87

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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.