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Finding the Fourth Proportional to 375,683.52, 518,437.62 and 205,917.96

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Solution

The fourth proportional to 375,683.52, 518,437.62 and 205,917.96 is: 284,163.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,683.52 : 518,437.62 = 205,917.96 : x
  2. Step 2: Convert to fraction form
    375,683.52/518,437.62 = 205,917.96/x
  3. Step 3: Cross multiply
    375,683.52x = 518,437.62 × 205,917.96
  4. Step 4: Simplify right side
    375,683.52x = 106,755,617,097.66
  5. Step 5: Solve for x
    x = 106,755,617,097.66/375,683.52
  6. Step 6: Final answer
    x = 284,163.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.