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Finding the Fourth Proportional to 777,005.62, 1,165,666.64 and 327,728.16

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Solution

The fourth proportional to 777,005.62, 1,165,666.64 and 327,728.16 is: 491,658.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,005.62 : 1,165,666.64 = 327,728.16 : x
  2. Step 2: Convert to fraction form
    777,005.62/1,165,666.64 = 327,728.16/x
  3. Step 3: Cross multiply
    777,005.62x = 1,165,666.64 × 327,728.16
  4. Step 4: Simplify right side
    777,005.62x = 382,021,775,633.61
  5. Step 5: Solve for x
    x = 382,021,775,633.61/777,005.62
  6. Step 6: Final answer
    x = 491,658.96

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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.