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Finding the Fourth Proportional to 422,520.16, 583,067.76 and 231,524.32

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Solution

The fourth proportional to 422,520.16, 583,067.76 and 231,524.32 is: 319,498.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,520.16 : 583,067.76 = 231,524.32 : x
  2. Step 2: Convert to fraction form
    422,520.16/583,067.76 = 231,524.32/x
  3. Step 3: Cross multiply
    422,520.16x = 583,067.76 × 231,524.32
  4. Step 4: Simplify right side
    422,520.16x = 134,994,366,647.92
  5. Step 5: Solve for x
    x = 134,994,366,647.92/422,520.16
  6. Step 6: Final answer
    x = 319,498.05

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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.