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Finding the Fourth Proportional to 381,002.94, 571,504.41 and 128,262.29

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Solution

The fourth proportional to 381,002.94, 571,504.41 and 128,262.29 is: 192,393.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,002.94 : 571,504.41 = 128,262.29 : x
  2. Step 2: Convert to fraction form
    381,002.94/571,504.41 = 128,262.29/x
  3. Step 3: Cross multiply
    381,002.94x = 571,504.41 × 128,262.29
  4. Step 4: Simplify right side
    381,002.94x = 73,302,461,514.18
  5. Step 5: Solve for x
    x = 73,302,461,514.18/381,002.94
  6. Step 6: Final answer
    x = 192,393.43

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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.