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Finding the Fourth Proportional to 422,824, 583,443.64 and 231,787.12

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Solution

The fourth proportional to 422,824, 583,443.64 and 231,787.12 is: 319,836.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,824 : 583,443.64 = 231,787.12 : x
  2. Step 2: Convert to fraction form
    422,824/583,443.64 = 231,787.12/x
  3. Step 3: Cross multiply
    422,824x = 583,443.64 × 231,787.12
  4. Step 4: Simplify right side
    422,824x = 135,234,720,997.92
  5. Step 5: Solve for x
    x = 135,234,720,997.92/422,824
  6. Step 6: Final answer
    x = 319,836.91

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1.5x scale

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.