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Finding the Fourth Proportional to 375,131.66, 517,681.67 and 205,365.78

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Solution

The fourth proportional to 375,131.66, 517,681.67 and 205,365.78 is: 283,404.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,131.66 : 517,681.67 = 205,365.78 : x
  2. Step 2: Convert to fraction form
    375,131.66/517,681.67 = 205,365.78/x
  3. Step 3: Cross multiply
    375,131.66x = 517,681.67 × 205,365.78
  4. Step 4: Simplify right side
    375,131.66x = 106,314,099,951.25
  5. Step 5: Solve for x
    x = 106,314,099,951.25/375,131.66
  6. Step 6: Final answer
    x = 283,404.77

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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.