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Finding the Fourth Proportional to 310,682.41, 428,737.65 and 174,716.31

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Solution

The fourth proportional to 310,682.41, 428,737.65 and 174,716.31 is: 241,106.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,682.41 : 428,737.65 = 174,716.31 : x
  2. Step 2: Convert to fraction form
    310,682.41/428,737.65 = 174,716.31/x
  3. Step 3: Cross multiply
    310,682.41x = 428,737.65 × 174,716.31
  4. Step 4: Simplify right side
    310,682.41x = 74,907,460,801.12
  5. Step 5: Solve for x
    x = 74,907,460,801.12/310,682.41
  6. Step 6: Final answer
    x = 241,106.22

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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.