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Finding the Fourth Proportional to 200,822.40, 301,233.60 and 129,963.60

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Solution

The fourth proportional to 200,822.40, 301,233.60 and 129,963.60 is: 194,945.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,822.40 : 301,233.60 = 129,963.60 : x
  2. Step 2: Convert to fraction form
    200,822.40/301,233.60 = 129,963.60/x
  3. Step 3: Cross multiply
    200,822.40x = 301,233.60 × 129,963.60
  4. Step 4: Simplify right side
    200,822.40x = 39,149,403,096.96
  5. Step 5: Solve for x
    x = 39,149,403,096.96/200,822.40
  6. Step 6: Final answer
    x = 194,945.40

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1.5x scale

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.