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Finding the Fourth Proportional to 374,909.25, 517,374.77 and 205,143.38

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Solution

The fourth proportional to 374,909.25, 517,374.77 and 205,143.38 is: 283,097.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,909.25 : 517,374.77 = 205,143.38 : x
  2. Step 2: Convert to fraction form
    374,909.25/517,374.77 = 205,143.38/x
  3. Step 3: Cross multiply
    374,909.25x = 517,374.77 × 205,143.38
  4. Step 4: Simplify right side
    374,909.25x = 106,136,005,431.93
  5. Step 5: Solve for x
    x = 106,136,005,431.93/374,909.25
  6. Step 6: Final answer
    x = 283,097.86

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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.