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Finding the Fourth Proportional to 206,419.70, 310,329.45 and 164,831.06

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Solution

The fourth proportional to 206,419.70, 310,329.45 and 164,831.06 is: 247,805.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,419.70 : 310,329.45 = 164,831.06 : x
  2. Step 2: Convert to fraction form
    206,419.70/310,329.45 = 164,831.06/x
  3. Step 3: Cross multiply
    206,419.70x = 310,329.45 × 164,831.06
  4. Step 4: Simplify right side
    206,419.70x = 51,151,932,192.72
  5. Step 5: Solve for x
    x = 51,151,932,192.72/206,419.70
  6. Step 6: Final answer
    x = 247,805.48

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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.