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Finding the Fourth Proportional to 255,320, 382,980 and 68,326.64

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Solution

The fourth proportional to 255,320, 382,980 and 68,326.64 is: 102,489.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,320 : 382,980 = 68,326.64 : x
  2. Step 2: Convert to fraction form
    255,320/382,980 = 68,326.64/x
  3. Step 3: Cross multiply
    255,320x = 382,980 × 68,326.64
  4. Step 4: Simplify right side
    255,320x = 26,167,736,587.20
  5. Step 5: Solve for x
    x = 26,167,736,587.20/255,320
  6. Step 6: Final answer
    x = 102,489.96

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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.