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Finding the Fourth Proportional to 255,295.34, 382,942.40 and 68,306.84

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Solution

The fourth proportional to 255,295.34, 382,942.40 and 68,306.84 is: 102,460.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,295.34 : 382,942.40 = 68,306.84 : x
  2. Step 2: Convert to fraction form
    255,295.34/382,942.40 = 68,306.84/x
  3. Step 3: Cross multiply
    255,295.34x = 382,942.40 × 68,306.84
  4. Step 4: Simplify right side
    255,295.34x = 26,157,582,989.77
  5. Step 5: Solve for x
    x = 26,157,582,989.77/255,295.34
  6. Step 6: Final answer
    x = 102,460.09

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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.