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Finding the Fourth Proportional to 587,859.57, 811,242.41 and 319,587.57

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Solution

The fourth proportional to 587,859.57, 811,242.41 and 319,587.57 is: 441,028.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,859.57 : 811,242.41 = 319,587.57 : x
  2. Step 2: Convert to fraction form
    587,859.57/811,242.41 = 319,587.57/x
  3. Step 3: Cross multiply
    587,859.57x = 811,242.41 × 319,587.57
  4. Step 4: Simplify right side
    587,859.57x = 259,262,988,894.91
  5. Step 5: Solve for x
    x = 259,262,988,894.91/587,859.57
  6. Step 6: Final answer
    x = 441,028.78

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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.