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Finding the Fourth Proportional to 298,727.20, 447,745.20 and 121,146.40

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Solution

The fourth proportional to 298,727.20, 447,745.20 and 121,146.40 is: 181,579.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,727.20 : 447,745.20 = 121,146.40 : x
  2. Step 2: Convert to fraction form
    298,727.20/447,745.20 = 121,146.40/x
  3. Step 3: Cross multiply
    298,727.20x = 447,745.20 × 121,146.40
  4. Step 4: Simplify right side
    298,727.20x = 54,242,719,097.28
  5. Step 5: Solve for x
    x = 54,242,719,097.28/298,727.20
  6. Step 6: Final answer
    x = 181,579.44

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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.