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Finding the Fourth Proportional to 781,074, 1,171,727.64 and 282,554.64

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Solution

The fourth proportional to 781,074, 1,171,727.64 and 282,554.64 is: 423,874.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    781,074 : 1,171,727.64 = 282,554.64 : x
  2. Step 2: Convert to fraction form
    781,074/1,171,727.64 = 282,554.64/x
  3. Step 3: Cross multiply
    781,074x = 1,171,727.64 × 282,554.64
  4. Step 4: Simplify right side
    781,074x = 331,077,081,498.25
  5. Step 5: Solve for x
    x = 331,077,081,498.25/781,074
  6. Step 6: Final answer
    x = 423,874.15

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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.