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Finding the Fourth Proportional to 255,206.43, 382,780.48 and 68,232.51

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Solution

The fourth proportional to 255,206.43, 382,780.48 and 68,232.51 is: 102,340.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,206.43 : 382,780.48 = 68,232.51 : x
  2. Step 2: Convert to fraction form
    255,206.43/382,780.48 = 68,232.51/x
  3. Step 3: Cross multiply
    255,206.43x = 382,780.48 × 68,232.51
  4. Step 4: Simplify right side
    255,206.43x = 26,118,070,674.34
  5. Step 5: Solve for x
    x = 26,118,070,674.34/255,206.43
  6. Step 6: Final answer
    x = 102,340.96

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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.