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Finding the Fourth Proportional to 329,565.78, 494,406.11 and 161,202.35

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Solution

The fourth proportional to 329,565.78, 494,406.11 and 161,202.35 is: 241,831.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,565.78 : 494,406.11 = 161,202.35 : x
  2. Step 2: Convert to fraction form
    329,565.78/494,406.11 = 161,202.35/x
  3. Step 3: Cross multiply
    329,565.78x = 494,406.11 × 161,202.35
  4. Step 4: Simplify right side
    329,565.78x = 79,699,428,425.38
  5. Step 5: Solve for x
    x = 79,699,428,425.38/329,565.78
  6. Step 6: Final answer
    x = 241,831.63

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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.