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Finding the Fourth Proportional to 312,469,831.80, 468,226,450.80 and 295,251,143.40

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Solution

The fourth proportional to 312,469,831.80, 468,226,450.80 and 295,251,143.40 is: 442,424,774.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,469,831.80 : 468,226,450.80 = 295,251,143.40 : x
  2. Step 2: Convert to fraction form
    312,469,831.80/468,226,450.80 = 295,251,143.40/x
  3. Step 3: Cross multiply
    312,469,831.80x = 468,226,450.80 × 295,251,143.40
  4. Step 4: Simplify right side
    312,469,831.80x = 138,244,394,968,823,840
  5. Step 5: Solve for x
    x = 138,244,394,968,823,840/312,469,831.80
  6. Step 6: Final answer
    x = 442,424,774.81

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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.