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Finding the Fourth Proportional to 310,405.17, 428,370.41 and 174,441.81

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Solution

The fourth proportional to 310,405.17, 428,370.41 and 174,441.81 is: 240,736.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,405.17 : 428,370.41 = 174,441.81 : x
  2. Step 2: Convert to fraction form
    310,405.17/428,370.41 = 174,441.81/x
  3. Step 3: Cross multiply
    310,405.17x = 428,370.41 × 174,441.81
  4. Step 4: Simplify right side
    310,405.17x = 74,725,709,670.84
  5. Step 5: Solve for x
    x = 74,725,709,670.84/310,405.17
  6. Step 6: Final answer
    x = 240,736.03

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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.