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Finding the Fourth Proportional to 206,482.88, 309,707.28 and 146,262.60

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Solution

The fourth proportional to 206,482.88, 309,707.28 and 146,262.60 is: 219,381.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,482.88 : 309,707.28 = 146,262.60 : x
  2. Step 2: Convert to fraction form
    206,482.88/309,707.28 = 146,262.60/x
  3. Step 3: Cross multiply
    206,482.88x = 309,707.28 × 146,262.60
  4. Step 4: Simplify right side
    206,482.88x = 45,298,592,011.73
  5. Step 5: Solve for x
    x = 45,298,592,011.73/206,482.88
  6. Step 6: Final answer
    x = 219,381.83

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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.