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Finding the Fourth Proportional to 438,832.80, 657,720 and 201,850.56

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Solution

The fourth proportional to 438,832.80, 657,720 and 201,850.56 is: 302,532.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,832.80 : 657,720 = 201,850.56 : x
  2. Step 2: Convert to fraction form
    438,832.80/657,720 = 201,850.56/x
  3. Step 3: Cross multiply
    438,832.80x = 657,720 × 201,850.56
  4. Step 4: Simplify right side
    438,832.80x = 132,761,150,323.20
  5. Step 5: Solve for x
    x = 132,761,150,323.20/438,832.80
  6. Step 6: Final answer
    x = 302,532.42

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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.