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Finding the Fourth Proportional to 422,035.20, 583,286.40 and 338,054.40

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Solution

The fourth proportional to 422,035.20, 583,286.40 and 338,054.40 is: 467,218.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,035.20 : 583,286.40 = 338,054.40 : x
  2. Step 2: Convert to fraction form
    422,035.20/583,286.40 = 338,054.40/x
  3. Step 3: Cross multiply
    422,035.20x = 583,286.40 × 338,054.40
  4. Step 4: Simplify right side
    422,035.20x = 197,182,533,980.16
  5. Step 5: Solve for x
    x = 197,182,533,980.16/422,035.20
  6. Step 6: Final answer
    x = 467,218.22

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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.