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Finding the Fourth Proportional to 331,878.25, 497,775 and 107,215.33

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Solution

The fourth proportional to 331,878.25, 497,775 and 107,215.33 is: 160,809.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,878.25 : 497,775 = 107,215.33 : x
  2. Step 2: Convert to fraction form
    331,878.25/497,775 = 107,215.33/x
  3. Step 3: Cross multiply
    331,878.25x = 497,775 × 107,215.33
  4. Step 4: Simplify right side
    331,878.25x = 53,369,110,890.75
  5. Step 5: Solve for x
    x = 53,369,110,890.75/331,878.25
  6. Step 6: Final answer
    x = 160,809.31

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1.5x scale

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.