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Finding the Fourth Proportional to 310,730.40, 428,754.96 and 174,729.12

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Solution

The fourth proportional to 310,730.40, 428,754.96 and 174,729.12 is: 241,096.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,730.40 : 428,754.96 = 174,729.12 : x
  2. Step 2: Convert to fraction form
    310,730.40/428,754.96 = 174,729.12/x
  3. Step 3: Cross multiply
    310,730.40x = 428,754.96 × 174,729.12
  4. Step 4: Simplify right side
    310,730.40x = 74,915,976,856.44
  5. Step 5: Solve for x
    x = 74,915,976,856.44/310,730.40
  6. Step 6: Final answer
    x = 241,096.39

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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.