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Finding the Fourth Proportional to 205,816.68, 308,775.90 and 146,505

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Solution

The fourth proportional to 205,816.68, 308,775.90 and 146,505 is: 219,793.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,816.68 : 308,775.90 = 146,505 : x
  2. Step 2: Convert to fraction form
    205,816.68/308,775.90 = 146,505/x
  3. Step 3: Cross multiply
    205,816.68x = 308,775.90 × 146,505
  4. Step 4: Simplify right side
    205,816.68x = 45,237,213,229.50
  5. Step 5: Solve for x
    x = 45,237,213,229.50/205,816.68
  6. Step 6: Final answer
    x = 219,793.72

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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.