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Finding the Fourth Proportional to 713,358.74, 1,069,727.04 and 269,815.70

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Solution

The fourth proportional to 713,358.74, 1,069,727.04 and 269,815.70 is: 404,605.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,358.74 : 1,069,727.04 = 269,815.70 : x
  2. Step 2: Convert to fraction form
    713,358.74/1,069,727.04 = 269,815.70/x
  3. Step 3: Cross multiply
    713,358.74x = 1,069,727.04 × 269,815.70
  4. Step 4: Simplify right side
    713,358.74x = 288,629,150,106.53
  5. Step 5: Solve for x
    x = 288,629,150,106.53/713,358.74
  6. Step 6: Final answer
    x = 404,605.89

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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.