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Finding the Fourth Proportional to 381,409.83, 571,892.27 and 115,090.47

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Solution

The fourth proportional to 381,409.83, 571,892.27 and 115,090.47 is: 172,568.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,409.83 : 571,892.27 = 115,090.47 : x
  2. Step 2: Convert to fraction form
    381,409.83/571,892.27 = 115,090.47/x
  3. Step 3: Cross multiply
    381,409.83x = 571,892.27 × 115,090.47
  4. Step 4: Simplify right side
    381,409.83x = 65,819,349,568.21
  5. Step 5: Solve for x
    x = 65,819,349,568.21/381,409.83
  6. Step 6: Final answer
    x = 172,568.57

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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.