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Finding the Fourth Proportional to 412,831.40, 619,101.30 and 146,600.60

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Solution

The fourth proportional to 412,831.40, 619,101.30 and 146,600.60 is: 219,849.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,831.40 : 619,101.30 = 146,600.60 : x
  2. Step 2: Convert to fraction form
    412,831.40/619,101.30 = 146,600.60/x
  3. Step 3: Cross multiply
    412,831.40x = 619,101.30 × 146,600.60
  4. Step 4: Simplify right side
    412,831.40x = 90,760,622,040.78
  5. Step 5: Solve for x
    x = 90,760,622,040.78/412,831.40
  6. Step 6: Final answer
    x = 219,849.12

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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.