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Finding the Fourth Proportional to 255,902.70, 384,145.65 and 150,780.90

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Solution

The fourth proportional to 255,902.70, 384,145.65 and 150,780.90 is: 226,343.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,902.70 : 384,145.65 = 150,780.90 : x
  2. Step 2: Convert to fraction form
    255,902.70/384,145.65 = 150,780.90/x
  3. Step 3: Cross multiply
    255,902.70x = 384,145.65 × 150,780.90
  4. Step 4: Simplify right side
    255,902.70x = 57,921,826,838.09
  5. Step 5: Solve for x
    x = 57,921,826,838.09/255,902.70
  6. Step 6: Final answer
    x = 226,343.16

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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.