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Finding the Fourth Proportional to 422,493.32, 583,117.32 and 269,579

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Solution

The fourth proportional to 422,493.32, 583,117.32 and 269,579 is: 372,067.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,493.32 : 583,117.32 = 269,579 : x
  2. Step 2: Convert to fraction form
    422,493.32/583,117.32 = 269,579/x
  3. Step 3: Cross multiply
    422,493.32x = 583,117.32 × 269,579
  4. Step 4: Simplify right side
    422,493.32x = 157,196,184,008.28
  5. Step 5: Solve for x
    x = 157,196,184,008.28/422,493.32
  6. Step 6: Final answer
    x = 372,067.86

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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.