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Finding the Fourth Proportional to 356,447.56, 491,885.38 and 213,133.16

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Solution

The fourth proportional to 356,447.56, 491,885.38 and 213,133.16 is: 294,116.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,447.56 : 491,885.38 = 213,133.16 : x
  2. Step 2: Convert to fraction form
    356,447.56/491,885.38 = 213,133.16/x
  3. Step 3: Cross multiply
    356,447.56x = 491,885.38 × 213,133.16
  4. Step 4: Simplify right side
    356,447.56x = 104,837,085,397.20
  5. Step 5: Solve for x
    x = 104,837,085,397.20/356,447.56
  6. Step 6: Final answer
    x = 294,116.43

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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.