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Finding the Fourth Proportional to 343,109.60, 515,234.64 and 231,507.80

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Solution

The fourth proportional to 343,109.60, 515,234.64 and 231,507.80 is: 347,646.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,109.60 : 515,234.64 = 231,507.80 : x
  2. Step 2: Convert to fraction form
    343,109.60/515,234.64 = 231,507.80/x
  3. Step 3: Cross multiply
    343,109.60x = 515,234.64 × 231,507.80
  4. Step 4: Simplify right side
    343,109.60x = 119,280,837,990.19
  5. Step 5: Solve for x
    x = 119,280,837,990.19/343,109.60
  6. Step 6: Final answer
    x = 347,646.46

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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.