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Finding the Fourth Proportional to 391,870.86, 587,972.72 and 214,170.26

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Solution

The fourth proportional to 391,870.86, 587,972.72 and 214,170.26 is: 321,346.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,870.86 : 587,972.72 = 214,170.26 : x
  2. Step 2: Convert to fraction form
    391,870.86/587,972.72 = 214,170.26/x
  3. Step 3: Cross multiply
    391,870.86x = 587,972.72 × 214,170.26
  4. Step 4: Simplify right side
    391,870.86x = 125,926,270,315.31
  5. Step 5: Solve for x
    x = 125,926,270,315.31/391,870.86
  6. Step 6: Final answer
    x = 321,346.35

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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.