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Finding the Fourth Proportional to 310,744.53, 428,840.22 and 174,784.80

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Solution

The fourth proportional to 310,744.53, 428,840.22 and 174,784.80 is: 241,210.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,744.53 : 428,840.22 = 174,784.80 : x
  2. Step 2: Convert to fraction form
    310,744.53/428,840.22 = 174,784.80/x
  3. Step 3: Cross multiply
    310,744.53x = 428,840.22 × 174,784.80
  4. Step 4: Simplify right side
    310,744.53x = 74,954,752,084.66
  5. Step 5: Solve for x
    x = 74,954,752,084.66/310,744.53
  6. Step 6: Final answer
    x = 241,210.21

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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.