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Finding the Fourth Proportional to 305,864.64, 422,078.94 and 169,907.40

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Solution

The fourth proportional to 305,864.64, 422,078.94 and 169,907.40 is: 234,464.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,864.64 : 422,078.94 = 169,907.40 : x
  2. Step 2: Convert to fraction form
    305,864.64/422,078.94 = 169,907.40/x
  3. Step 3: Cross multiply
    305,864.64x = 422,078.94 × 169,907.40
  4. Step 4: Simplify right side
    305,864.64x = 71,714,335,290.16
  5. Step 5: Solve for x
    x = 71,714,335,290.16/305,864.64
  6. Step 6: Final answer
    x = 234,464.29

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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.