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Finding the Fourth Proportional to 713,786.56, 985,107.75 and 427,306.57

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Solution

The fourth proportional to 713,786.56, 985,107.75 and 427,306.57 is: 589,732.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,786.56 : 985,107.75 = 427,306.57 : x
  2. Step 2: Convert to fraction form
    713,786.56/985,107.75 = 427,306.57/x
  3. Step 3: Cross multiply
    713,786.56x = 985,107.75 × 427,306.57
  4. Step 4: Simplify right side
    713,786.56x = 420,943,013,732.92
  5. Step 5: Solve for x
    x = 420,943,013,732.92/713,786.56
  6. Step 6: Final answer
    x = 589,732.33

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1.5x scale

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.