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Finding the Fourth Proportional to 491,141.81, 736,712.89 and 220,954.34

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Solution

The fourth proportional to 491,141.81, 736,712.89 and 220,954.34 is: 331,431.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,141.81 : 736,712.89 = 220,954.34 : x
  2. Step 2: Convert to fraction form
    491,141.81/736,712.89 = 220,954.34/x
  3. Step 3: Cross multiply
    491,141.81x = 736,712.89 × 220,954.34
  4. Step 4: Simplify right side
    491,141.81x = 162,779,906,143.49
  5. Step 5: Solve for x
    x = 162,779,906,143.49/491,141.81
  6. Step 6: Final answer
    x = 331,431.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.