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Finding the Fourth Proportional to 560,217.28, 773,099.68 and 305,568.32

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Solution

The fourth proportional to 560,217.28, 773,099.68 and 305,568.32 is: 421,684.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,217.28 : 773,099.68 = 305,568.32 : x
  2. Step 2: Convert to fraction form
    560,217.28/773,099.68 = 305,568.32/x
  3. Step 3: Cross multiply
    560,217.28x = 773,099.68 × 305,568.32
  4. Step 4: Simplify right side
    560,217.28x = 236,234,770,410.14
  5. Step 5: Solve for x
    x = 236,234,770,410.14/560,217.28
  6. Step 6: Final answer
    x = 421,684.19

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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.