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Finding the Fourth Proportional to 384,201.72, 576,294.53 and 128,052.83

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Solution

The fourth proportional to 384,201.72, 576,294.53 and 128,052.83 is: 192,076.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,201.72 : 576,294.53 = 128,052.83 : x
  2. Step 2: Convert to fraction form
    384,201.72/576,294.53 = 128,052.83/x
  3. Step 3: Cross multiply
    384,201.72x = 576,294.53 × 128,052.83
  4. Step 4: Simplify right side
    384,201.72x = 73,796,144,839.76
  5. Step 5: Solve for x
    x = 73,796,144,839.76/384,201.72
  6. Step 6: Final answer
    x = 192,076.56

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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.