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Finding the Fourth Proportional to 294,609.74, 441,905.85 and 81,390.44

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Solution

The fourth proportional to 294,609.74, 441,905.85 and 81,390.44 is: 122,083.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,609.74 : 441,905.85 = 81,390.44 : x
  2. Step 2: Convert to fraction form
    294,609.74/441,905.85 = 81,390.44/x
  3. Step 3: Cross multiply
    294,609.74x = 441,905.85 × 81,390.44
  4. Step 4: Simplify right side
    294,609.74x = 35,966,912,674.84
  5. Step 5: Solve for x
    x = 35,966,912,674.84/294,609.74
  6. Step 6: Final answer
    x = 122,083.25

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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.