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Finding the Fourth Proportional to 356,381.53, 491,806.45 and 213,141.58

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Solution

The fourth proportional to 356,381.53, 491,806.45 and 213,141.58 is: 294,135.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,381.53 : 491,806.45 = 213,141.58 : x
  2. Step 2: Convert to fraction form
    356,381.53/491,806.45 = 213,141.58/x
  3. Step 3: Cross multiply
    356,381.53x = 491,806.45 × 213,141.58
  4. Step 4: Simplify right side
    356,381.53x = 104,824,403,807.19
  5. Step 5: Solve for x
    x = 104,824,403,807.19/356,381.53
  6. Step 6: Final answer
    x = 294,135.34

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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.