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Finding the Fourth Proportional to 777,060.84, 1,165,777.86 and 297,280.78

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Solution

The fourth proportional to 777,060.84, 1,165,777.86 and 297,280.78 is: 445,992.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,060.84 : 1,165,777.86 = 297,280.78 : x
  2. Step 2: Convert to fraction form
    777,060.84/1,165,777.86 = 297,280.78/x
  3. Step 3: Cross multiply
    777,060.84x = 1,165,777.86 × 297,280.78
  4. Step 4: Simplify right side
    777,060.84x = 346,563,351,527.53
  5. Step 5: Solve for x
    x = 346,563,351,527.53/777,060.84
  6. Step 6: Final answer
    x = 445,992.56

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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.