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Finding the Fourth Proportional to 774,047, 1,161,143.88 and 300,768.92

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Solution

The fourth proportional to 774,047, 1,161,143.88 and 300,768.92 is: 451,181.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,047 : 1,161,143.88 = 300,768.92 : x
  2. Step 2: Convert to fraction form
    774,047/1,161,143.88 = 300,768.92/x
  3. Step 3: Cross multiply
    774,047x = 1,161,143.88 × 300,768.92
  4. Step 4: Simplify right side
    774,047x = 349,235,990,752.21
  5. Step 5: Solve for x
    x = 349,235,990,752.21/774,047
  6. Step 6: Final answer
    x = 451,181.89

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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.