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Finding the Fourth Proportional to 262,953.10, 394,429.65 and 129,853.90

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Solution

The fourth proportional to 262,953.10, 394,429.65 and 129,853.90 is: 194,780.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,953.10 : 394,429.65 = 129,853.90 : x
  2. Step 2: Convert to fraction form
    262,953.10/394,429.65 = 129,853.90/x
  3. Step 3: Cross multiply
    262,953.10x = 394,429.65 × 129,853.90
  4. Step 4: Simplify right side
    262,953.10x = 51,218,228,328.14
  5. Step 5: Solve for x
    x = 51,218,228,328.14/262,953.10
  6. Step 6: Final answer
    x = 194,780.85

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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.