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Finding the Fourth Proportional to 268,209.88, 402,314.76 and 68,530.64

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Solution

The fourth proportional to 268,209.88, 402,314.76 and 68,530.64 is: 102,795.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,209.88 : 402,314.76 = 68,530.64 : x
  2. Step 2: Convert to fraction form
    268,209.88/402,314.76 = 68,530.64/x
  3. Step 3: Cross multiply
    268,209.88x = 402,314.76 × 68,530.64
  4. Step 4: Simplify right side
    268,209.88x = 27,570,887,984.25
  5. Step 5: Solve for x
    x = 27,570,887,984.25/268,209.88
  6. Step 6: Final answer
    x = 102,795.94

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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.