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Finding the Fourth Proportional to 331,969.60, 498,116.40 and 154,385.20

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Solution

The fourth proportional to 331,969.60, 498,116.40 and 154,385.20 is: 231,653.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,969.60 : 498,116.40 = 154,385.20 : x
  2. Step 2: Convert to fraction form
    331,969.60/498,116.40 = 154,385.20/x
  3. Step 3: Cross multiply
    331,969.60x = 498,116.40 × 154,385.20
  4. Step 4: Simplify right side
    331,969.60x = 76,901,800,037.28
  5. Step 5: Solve for x
    x = 76,901,800,037.28/331,969.60
  6. Step 6: Final answer
    x = 231,653.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.