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Finding the Fourth Proportional to 262,227.40, 361,780.50 and 154,743.64

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Solution

The fourth proportional to 262,227.40, 361,780.50 and 154,743.64 is: 213,491.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,227.40 : 361,780.50 = 154,743.64 : x
  2. Step 2: Convert to fraction form
    262,227.40/361,780.50 = 154,743.64/x
  3. Step 3: Cross multiply
    262,227.40x = 361,780.50 × 154,743.64
  4. Step 4: Simplify right side
    262,227.40x = 55,983,231,451.02
  5. Step 5: Solve for x
    x = 55,983,231,451.02/262,227.40
  6. Step 6: Final answer
    x = 213,491.16

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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.