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Finding the Fourth Proportional to 307,831.80, 461,013.30 and 149,551.80

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Solution

The fourth proportional to 307,831.80, 461,013.30 and 149,551.80 is: 223,970.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,831.80 : 461,013.30 = 149,551.80 : x
  2. Step 2: Convert to fraction form
    307,831.80/461,013.30 = 149,551.80/x
  3. Step 3: Cross multiply
    307,831.80x = 461,013.30 × 149,551.80
  4. Step 4: Simplify right side
    307,831.80x = 68,945,368,838.94
  5. Step 5: Solve for x
    x = 68,945,368,838.94/307,831.80
  6. Step 6: Final answer
    x = 223,970.91

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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.