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Finding the Fourth Proportional to 243,062.40, 364,593.60 and 213,537.90

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Solution

The fourth proportional to 243,062.40, 364,593.60 and 213,537.90 is: 320,306.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,062.40 : 364,593.60 = 213,537.90 : x
  2. Step 2: Convert to fraction form
    243,062.40/364,593.60 = 213,537.90/x
  3. Step 3: Cross multiply
    243,062.40x = 364,593.60 × 213,537.90
  4. Step 4: Simplify right side
    243,062.40x = 77,854,551,697.44
  5. Step 5: Solve for x
    x = 77,854,551,697.44/243,062.40
  6. Step 6: Final answer
    x = 320,306.85

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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.