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Finding the Fourth Proportional to 269,073.40, 403,322.10 and 91,415.80

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Solution

The fourth proportional to 269,073.40, 403,322.10 and 91,415.80 is: 137,025.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,073.40 : 403,322.10 = 91,415.80 : x
  2. Step 2: Convert to fraction form
    269,073.40/403,322.10 = 91,415.80/x
  3. Step 3: Cross multiply
    269,073.40x = 403,322.10 × 91,415.80
  4. Step 4: Simplify right side
    269,073.40x = 36,870,012,429.18
  5. Step 5: Solve for x
    x = 36,870,012,429.18/269,073.40
  6. Step 6: Final answer
    x = 137,025.85

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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.