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Finding the Fourth Proportional to 384,801, 531,015.48 and 215,036.52

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Solution

The fourth proportional to 384,801, 531,015.48 and 215,036.52 is: 296,744.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,801 : 531,015.48 = 215,036.52 : x
  2. Step 2: Convert to fraction form
    384,801/531,015.48 = 215,036.52/x
  3. Step 3: Cross multiply
    384,801x = 531,015.48 × 215,036.52
  4. Step 4: Simplify right side
    384,801x = 114,187,720,885.33
  5. Step 5: Solve for x
    x = 114,187,720,885.33/384,801
  6. Step 6: Final answer
    x = 296,744.87

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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.