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Finding the Fourth Proportional to 431,372.40, 646,572.60 and 206,840.40

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Solution

The fourth proportional to 431,372.40, 646,572.60 and 206,840.40 is: 310,027.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,372.40 : 646,572.60 = 206,840.40 : x
  2. Step 2: Convert to fraction form
    431,372.40/646,572.60 = 206,840.40/x
  3. Step 3: Cross multiply
    431,372.40x = 646,572.60 × 206,840.40
  4. Step 4: Simplify right side
    431,372.40x = 133,737,335,213.04
  5. Step 5: Solve for x
    x = 133,737,335,213.04/431,372.40
  6. Step 6: Final answer
    x = 310,027.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.