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Finding the Fourth Proportional to 310,791.74, 428,930.55 and 174,831.41

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Solution

The fourth proportional to 310,791.74, 428,930.55 and 174,831.41 is: 241,288.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,791.74 : 428,930.55 = 174,831.41 : x
  2. Step 2: Convert to fraction form
    310,791.74/428,930.55 = 174,831.41/x
  3. Step 3: Cross multiply
    310,791.74x = 428,930.55 × 174,831.41
  4. Step 4: Simplify right side
    310,791.74x = 74,990,532,848.58
  5. Step 5: Solve for x
    x = 74,990,532,848.58/310,791.74
  6. Step 6: Final answer
    x = 241,288.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.