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Finding the Fourth Proportional to 255,294, 382,941 and 68,300.64

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Solution

The fourth proportional to 255,294, 382,941 and 68,300.64 is: 102,450.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,294 : 382,941 = 68,300.64 : x
  2. Step 2: Convert to fraction form
    255,294/382,941 = 68,300.64/x
  3. Step 3: Cross multiply
    255,294x = 382,941 × 68,300.64
  4. Step 4: Simplify right side
    255,294x = 26,155,115,382.24
  5. Step 5: Solve for x
    x = 26,155,115,382.24/255,294
  6. Step 6: Final answer
    x = 102,450.96

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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.