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Finding the Fourth Proportional to 268,286.56, 402,494.88 and 99,813.28

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Solution

The fourth proportional to 268,286.56, 402,494.88 and 99,813.28 is: 149,744.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,286.56 : 402,494.88 = 99,813.28 : x
  2. Step 2: Convert to fraction form
    268,286.56/402,494.88 = 99,813.28/x
  3. Step 3: Cross multiply
    268,286.56x = 402,494.88 × 99,813.28
  4. Step 4: Simplify right side
    268,286.56x = 40,174,334,156.01
  5. Step 5: Solve for x
    x = 40,174,334,156.01/268,286.56
  6. Step 6: Final answer
    x = 149,744.12

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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.