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Finding the Fourth Proportional to 438,142.40, 657,019.20 and 201,363.20

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Solution

The fourth proportional to 438,142.40, 657,019.20 and 201,363.20 is: 301,955.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,142.40 : 657,019.20 = 201,363.20 : x
  2. Step 2: Convert to fraction form
    438,142.40/657,019.20 = 201,363.20/x
  3. Step 3: Cross multiply
    438,142.40x = 657,019.20 × 201,363.20
  4. Step 4: Simplify right side
    438,142.40x = 132,299,488,573.44
  5. Step 5: Solve for x
    x = 132,299,488,573.44/438,142.40
  6. Step 6: Final answer
    x = 301,955.46

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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.