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Finding the Fourth Proportional to 356,221.78, 491,582.37 and 192,875.49

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Solution

The fourth proportional to 356,221.78, 491,582.37 and 192,875.49 is: 266,166.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,221.78 : 491,582.37 = 192,875.49 : x
  2. Step 2: Convert to fraction form
    356,221.78/491,582.37 = 192,875.49/x
  3. Step 3: Cross multiply
    356,221.78x = 491,582.37 × 192,875.49
  4. Step 4: Simplify right side
    356,221.78x = 94,814,190,489.11
  5. Step 5: Solve for x
    x = 94,814,190,489.11/356,221.78
  6. Step 6: Final answer
    x = 266,166.18

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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.