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Finding the Fourth Proportional to 381,846.40, 572,553.60 and 145,196.80

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Solution

The fourth proportional to 381,846.40, 572,553.60 and 145,196.80 is: 217,713.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,846.40 : 572,553.60 = 145,196.80 : x
  2. Step 2: Convert to fraction form
    381,846.40/572,553.60 = 145,196.80/x
  3. Step 3: Cross multiply
    381,846.40x = 572,553.60 × 145,196.80
  4. Step 4: Simplify right side
    381,846.40x = 83,132,950,548.48
  5. Step 5: Solve for x
    x = 83,132,950,548.48/381,846.40
  6. Step 6: Final answer
    x = 217,713.07

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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.