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Finding the Fourth Proportional to 381,339.66, 571,785.19 and 144,698.97

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Solution

The fourth proportional to 381,339.66, 571,785.19 and 144,698.97 is: 216,963.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,339.66 : 571,785.19 = 144,698.97 : x
  2. Step 2: Convert to fraction form
    381,339.66/571,785.19 = 144,698.97/x
  3. Step 3: Cross multiply
    381,339.66x = 571,785.19 × 144,698.97
  4. Step 4: Simplify right side
    381,339.66x = 82,736,728,054.25
  5. Step 5: Solve for x
    x = 82,736,728,054.25/381,339.66
  6. Step 6: Final answer
    x = 216,963.34

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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.