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Finding the Fourth Proportional to 560,749.56, 773,822.34 and 306,105

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Solution

The fourth proportional to 560,749.56, 773,822.34 and 306,105 is: 422,418.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,749.56 : 773,822.34 = 306,105 : x
  2. Step 2: Convert to fraction form
    560,749.56/773,822.34 = 306,105/x
  3. Step 3: Cross multiply
    560,749.56x = 773,822.34 × 306,105
  4. Step 4: Simplify right side
    560,749.56x = 236,870,887,385.70
  5. Step 5: Solve for x
    x = 236,870,887,385.70/560,749.56
  6. Step 6: Final answer
    x = 422,418.32

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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.