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Finding the Fourth Proportional to 255,763.20, 383,644.80 and 141,601.80

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Solution

The fourth proportional to 255,763.20, 383,644.80 and 141,601.80 is: 212,402.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,763.20 : 383,644.80 = 141,601.80 : x
  2. Step 2: Convert to fraction form
    255,763.20/383,644.80 = 141,601.80/x
  3. Step 3: Cross multiply
    255,763.20x = 383,644.80 × 141,601.80
  4. Step 4: Simplify right side
    255,763.20x = 54,324,794,240.64
  5. Step 5: Solve for x
    x = 54,324,794,240.64/255,763.20
  6. Step 6: Final answer
    x = 212,402.70

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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.