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Finding the Fourth Proportional to 294,118.40, 405,871.68 and 159,982.72

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Solution

The fourth proportional to 294,118.40, 405,871.68 and 159,982.72 is: 220,769.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,118.40 : 405,871.68 = 159,982.72 : x
  2. Step 2: Convert to fraction form
    294,118.40/405,871.68 = 159,982.72/x
  3. Step 3: Cross multiply
    294,118.40x = 405,871.68 × 159,982.72
  4. Step 4: Simplify right side
    294,118.40x = 64,932,455,337.37
  5. Step 5: Solve for x
    x = 64,932,455,337.37/294,118.40
  6. Step 6: Final answer
    x = 220,769.78

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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.