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Finding the Fourth Proportional to 1,277,964.08, 1,764,169.72 and 813,009.12

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Solution

The fourth proportional to 1,277,964.08, 1,764,169.72 and 813,009.12 is: 1,122,321.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277,964.08 : 1,764,169.72 = 813,009.12 : x
  2. Step 2: Convert to fraction form
    1,277,964.08/1,764,169.72 = 813,009.12/x
  3. Step 3: Cross multiply
    1,277,964.08x = 1,764,169.72 × 813,009.12
  4. Step 4: Simplify right side
    1,277,964.08x = 1,434,286,071,587.85
  5. Step 5: Solve for x
    x = 1,434,286,071,587.85/1,277,964.08
  6. Step 6: Final answer
    x = 1,122,321.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.