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Finding the Fourth Proportional to 348,084.34, 480,263.78 and 200,871.90

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Solution

The fourth proportional to 348,084.34, 480,263.78 and 200,871.90 is: 277,149.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,084.34 : 480,263.78 = 200,871.90 : x
  2. Step 2: Convert to fraction form
    348,084.34/480,263.78 = 200,871.90/x
  3. Step 3: Cross multiply
    348,084.34x = 480,263.78 × 200,871.90
  4. Step 4: Simplify right side
    348,084.34x = 96,471,498,491.96
  5. Step 5: Solve for x
    x = 96,471,498,491.96/348,084.34
  6. Step 6: Final answer
    x = 277,149.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.