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Finding the Fourth Proportional to 255,200.49, 382,719.10 and 84,390.48

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Solution

The fourth proportional to 255,200.49, 382,719.10 and 84,390.48 is: 126,558.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,200.49 : 382,719.10 = 84,390.48 : x
  2. Step 2: Convert to fraction form
    255,200.49/382,719.10 = 84,390.48/x
  3. Step 3: Cross multiply
    255,200.49x = 382,719.10 × 84,390.48
  4. Step 4: Simplify right side
    255,200.49x = 32,297,848,554.17
  5. Step 5: Solve for x
    x = 32,297,848,554.17/255,200.49
  6. Step 6: Final answer
    x = 126,558.72

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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.