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Finding the Fourth Proportional to 438,140.40, 657,016.20 and 201,361.20

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Solution

The fourth proportional to 438,140.40, 657,016.20 and 201,361.20 is: 301,952.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,140.40 : 657,016.20 = 201,361.20 : x
  2. Step 2: Convert to fraction form
    438,140.40/657,016.20 = 201,361.20/x
  3. Step 3: Cross multiply
    438,140.40x = 657,016.20 × 201,361.20
  4. Step 4: Simplify right side
    438,140.40x = 132,297,570,451.44
  5. Step 5: Solve for x
    x = 132,297,570,451.44/438,140.40
  6. Step 6: Final answer
    x = 301,952.46

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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.