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Finding the Fourth Proportional to 707,688.48, 976,699.44 and 405,876

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Solution

The fourth proportional to 707,688.48, 976,699.44 and 405,876 is: 560,160.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    707,688.48 : 976,699.44 = 405,876 : x
  2. Step 2: Convert to fraction form
    707,688.48/976,699.44 = 405,876/x
  3. Step 3: Cross multiply
    707,688.48x = 976,699.44 × 405,876
  4. Step 4: Simplify right side
    707,688.48x = 396,418,861,909.44
  5. Step 5: Solve for x
    x = 396,418,861,909.44/707,688.48
  6. Step 6: Final answer
    x = 560,160.12

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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.