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Finding the Fourth Proportional to 302,142.40, 453,472.80 and 133,921.60

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Solution

The fourth proportional to 302,142.40, 453,472.80 and 133,921.60 is: 200,997.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,142.40 : 453,472.80 = 133,921.60 : x
  2. Step 2: Convert to fraction form
    302,142.40/453,472.80 = 133,921.60/x
  3. Step 3: Cross multiply
    302,142.40x = 453,472.80 × 133,921.60
  4. Step 4: Simplify right side
    302,142.40x = 60,729,802,932.48
  5. Step 5: Solve for x
    x = 60,729,802,932.48/302,142.40
  6. Step 6: Final answer
    x = 200,997.29

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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.