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Finding the Fourth Proportional to 628,129.28, 942,280.78 and 201,564.78

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Solution

The fourth proportional to 628,129.28, 942,280.78 and 201,564.78 is: 302,375.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    628,129.28 : 942,280.78 = 201,564.78 : x
  2. Step 2: Convert to fraction form
    628,129.28/942,280.78 = 201,564.78/x
  3. Step 3: Cross multiply
    628,129.28x = 942,280.78 × 201,564.78
  4. Step 4: Simplify right side
    628,129.28x = 189,930,618,118.93
  5. Step 5: Solve for x
    x = 189,930,618,118.93/628,129.28
  6. Step 6: Final answer
    x = 302,375.04

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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.