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Finding the Fourth Proportional to 356,435.82, 491,881.29 and 213,229.50

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Solution

The fourth proportional to 356,435.82, 491,881.29 and 213,229.50 is: 294,256.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,435.82 : 491,881.29 = 213,229.50 : x
  2. Step 2: Convert to fraction form
    356,435.82/491,881.29 = 213,229.50/x
  3. Step 3: Cross multiply
    356,435.82x = 491,881.29 × 213,229.50
  4. Step 4: Simplify right side
    356,435.82x = 104,883,601,526.06
  5. Step 5: Solve for x
    x = 104,883,601,526.06/356,435.82
  6. Step 6: Final answer
    x = 294,256.63

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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.