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Finding the Fourth Proportional to 707,744.64, 976,677.84 and 405,932.16

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Solution

The fourth proportional to 707,744.64, 976,677.84 and 405,932.16 is: 560,180.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    707,744.64 : 976,677.84 = 405,932.16 : x
  2. Step 2: Convert to fraction form
    707,744.64/976,677.84 = 405,932.16/x
  3. Step 3: Cross multiply
    707,744.64x = 976,677.84 × 405,932.16
  4. Step 4: Simplify right side
    707,744.64x = 396,464,945,215.33
  5. Step 5: Solve for x
    x = 396,464,945,215.33/707,744.64
  6. Step 6: Final answer
    x = 560,180.78

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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.