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Finding the Fourth Proportional to 313,609.47, 471,019.41 and 268,732.23

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Solution

The fourth proportional to 313,609.47, 471,019.41 and 268,732.23 is: 403,616.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,609.47 : 471,019.41 = 268,732.23 : x
  2. Step 2: Convert to fraction form
    313,609.47/471,019.41 = 268,732.23/x
  3. Step 3: Cross multiply
    313,609.47x = 471,019.41 × 268,732.23
  4. Step 4: Simplify right side
    313,609.47x = 126,578,096,422.58
  5. Step 5: Solve for x
    x = 126,578,096,422.58/313,609.47
  6. Step 6: Final answer
    x = 403,616.95

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1.5x scale

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.