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Finding the Fourth Proportional to 628,285.76, 942,584.16 and 295,784

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Solution

The fourth proportional to 628,285.76, 942,584.16 and 295,784 is: 443,749.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    628,285.76 : 942,584.16 = 295,784 : x
  2. Step 2: Convert to fraction form
    628,285.76/942,584.16 = 295,784/x
  3. Step 3: Cross multiply
    628,285.76x = 942,584.16 × 295,784
  4. Step 4: Simplify right side
    628,285.76x = 278,801,313,181.44
  5. Step 5: Solve for x
    x = 278,801,313,181.44/628,285.76
  6. Step 6: Final answer
    x = 443,749.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.