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Finding the Fourth Proportional to 422,542.87, 583,108.20 and 228,955.86

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Solution

The fourth proportional to 422,542.87, 583,108.20 and 228,955.86 is: 315,958.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,542.87 : 583,108.20 = 228,955.86 : x
  2. Step 2: Convert to fraction form
    422,542.87/583,108.20 = 228,955.86/x
  3. Step 3: Cross multiply
    422,542.87x = 583,108.20 × 228,955.86
  4. Step 4: Simplify right side
    422,542.87x = 133,506,039,404.05
  5. Step 5: Solve for x
    x = 133,506,039,404.05/422,542.87
  6. Step 6: Final answer
    x = 315,958.57

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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.