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Finding the Fourth Proportional to 331,097.60, 496,646.40 and 120,742.40

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Solution

The fourth proportional to 331,097.60, 496,646.40 and 120,742.40 is: 181,113.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,097.60 : 496,646.40 = 120,742.40 : x
  2. Step 2: Convert to fraction form
    331,097.60/496,646.40 = 120,742.40/x
  3. Step 3: Cross multiply
    331,097.60x = 496,646.40 × 120,742.40
  4. Step 4: Simplify right side
    331,097.60x = 59,966,278,287.36
  5. Step 5: Solve for x
    x = 59,966,278,287.36/331,097.60
  6. Step 6: Final answer
    x = 181,113.60

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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.