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Finding the Fourth Proportional to 707,454.88, 976,287.88 and 385,165

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Solution

The fourth proportional to 707,454.88, 976,287.88 and 385,165 is: 531,527.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    707,454.88 : 976,287.88 = 385,165 : x
  2. Step 2: Convert to fraction form
    707,454.88/976,287.88 = 385,165/x
  3. Step 3: Cross multiply
    707,454.88x = 976,287.88 × 385,165
  4. Step 4: Simplify right side
    707,454.88x = 376,031,921,300.20
  5. Step 5: Solve for x
    x = 376,031,921,300.20/707,454.88
  6. Step 6: Final answer
    x = 531,527.78

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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.