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Finding the Fourth Proportional to 471,831.80, 707,286.90 and 422,065.40

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Solution

The fourth proportional to 471,831.80, 707,286.90 and 422,065.40 is: 632,685.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,831.80 : 707,286.90 = 422,065.40 : x
  2. Step 2: Convert to fraction form
    471,831.80/707,286.90 = 422,065.40/x
  3. Step 3: Cross multiply
    471,831.80x = 707,286.90 × 422,065.40
  4. Step 4: Simplify right side
    471,831.80x = 298,521,328,363.26
  5. Step 5: Solve for x
    x = 298,521,328,363.26/471,831.80
  6. Step 6: Final answer
    x = 632,685.90

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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.