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Finding the Fourth Proportional to 309,186.72, 462,992.72 and 203,685.84

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Solution

The fourth proportional to 309,186.72, 462,992.72 and 203,685.84 is: 305,010.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,186.72 : 462,992.72 = 203,685.84 : x
  2. Step 2: Convert to fraction form
    309,186.72/462,992.72 = 203,685.84/x
  3. Step 3: Cross multiply
    309,186.72x = 462,992.72 × 203,685.84
  4. Step 4: Simplify right side
    309,186.72x = 94,305,060,068.66
  5. Step 5: Solve for x
    x = 94,305,060,068.66/309,186.72
  6. Step 6: Final answer
    x = 305,010.06

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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.