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Finding the Fourth Proportional to 381,315.60, 571,977.72 and 115,078.68

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Solution

The fourth proportional to 381,315.60, 571,977.72 and 115,078.68 is: 172,619.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,315.60 : 571,977.72 = 115,078.68 : x
  2. Step 2: Convert to fraction form
    381,315.60/571,977.72 = 115,078.68/x
  3. Step 3: Cross multiply
    381,315.60x = 571,977.72 × 115,078.68
  4. Step 4: Simplify right side
    381,315.60x = 65,822,441,007.01
  5. Step 5: Solve for x
    x = 65,822,441,007.01/381,315.60
  6. Step 6: Final answer
    x = 172,619.32

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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.