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Finding the Fourth Proportional to 268,323.94, 402,481.80 and 68,642.64

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Solution

The fourth proportional to 268,323.94, 402,481.80 and 68,642.64 is: 102,962.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,323.94 : 402,481.80 = 68,642.64 : x
  2. Step 2: Convert to fraction form
    268,323.94/402,481.80 = 68,642.64/x
  3. Step 3: Cross multiply
    268,323.94x = 402,481.80 × 68,642.64
  4. Step 4: Simplify right side
    268,323.94x = 27,627,411,463.15
  5. Step 5: Solve for x
    x = 27,627,411,463.15/268,323.94
  6. Step 6: Final answer
    x = 102,962.90

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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.