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Finding the Fourth Proportional to 265,220.80, 398,122.80 and 146,831.20

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Solution

The fourth proportional to 265,220.80, 398,122.80 and 146,831.20 is: 220,408.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,220.80 : 398,122.80 = 146,831.20 : x
  2. Step 2: Convert to fraction form
    265,220.80/398,122.80 = 146,831.20/x
  3. Step 3: Cross multiply
    265,220.80x = 398,122.80 × 146,831.20
  4. Step 4: Simplify right side
    265,220.80x = 58,456,848,471.36
  5. Step 5: Solve for x
    x = 58,456,848,471.36/265,220.80
  6. Step 6: Final answer
    x = 220,408.24

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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.