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Finding the Fourth Proportional to 414,793.60, 621,729.60 and 227,939.20

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Solution

The fourth proportional to 414,793.60, 621,729.60 and 227,939.20 is: 341,655.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,793.60 : 621,729.60 = 227,939.20 : x
  2. Step 2: Convert to fraction form
    414,793.60/621,729.60 = 227,939.20/x
  3. Step 3: Cross multiply
    414,793.60x = 621,729.60 × 227,939.20
  4. Step 4: Simplify right side
    414,793.60x = 141,716,547,640.32
  5. Step 5: Solve for x
    x = 141,716,547,640.32/414,793.60
  6. Step 6: Final answer
    x = 341,655.58

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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.