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Finding the Fourth Proportional to 294,684.40, 441,945.72 and 81,401.32

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Solution

The fourth proportional to 294,684.40, 441,945.72 and 81,401.32 is: 122,079.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,684.40 : 441,945.72 = 81,401.32 : x
  2. Step 2: Convert to fraction form
    294,684.40/441,945.72 = 81,401.32/x
  3. Step 3: Cross multiply
    294,684.40x = 441,945.72 × 81,401.32
  4. Step 4: Simplify right side
    294,684.40x = 35,974,964,976.35
  5. Step 5: Solve for x
    x = 35,974,964,976.35/294,684.40
  6. Step 6: Final answer
    x = 122,079.64

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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.