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Finding the Fourth Proportional to 381,007.22, 571,110.71 and 128,199.94

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Solution

The fourth proportional to 381,007.22, 571,110.71 and 128,199.94 is: 192,165.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,007.22 : 571,110.71 = 128,199.94 : x
  2. Step 2: Convert to fraction form
    381,007.22/571,110.71 = 128,199.94/x
  3. Step 3: Cross multiply
    381,007.22x = 571,110.71 × 128,199.94
  4. Step 4: Simplify right side
    381,007.22x = 73,216,356,686.58
  5. Step 5: Solve for x
    x = 73,216,356,686.58/381,007.22
  6. Step 6: Final answer
    x = 192,165.28

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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.