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Finding the Fourth Proportional to 380,874.48, 525,588.66 and 219,781.32

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Solution

The fourth proportional to 380,874.48, 525,588.66 and 219,781.32 is: 303,287.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,874.48 : 525,588.66 = 219,781.32 : x
  2. Step 2: Convert to fraction form
    380,874.48/525,588.66 = 219,781.32/x
  3. Step 3: Cross multiply
    380,874.48x = 525,588.66 × 219,781.32
  4. Step 4: Simplify right side
    380,874.48x = 115,514,569,471.83
  5. Step 5: Solve for x
    x = 115,514,569,471.83/380,874.48
  6. Step 6: Final answer
    x = 303,287.76

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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.