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Finding the Fourth Proportional to 391,497.62, 540,241.12 and 230,321.50

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Solution

The fourth proportional to 391,497.62, 540,241.12 and 230,321.50 is: 317,828.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,497.62 : 540,241.12 = 230,321.50 : x
  2. Step 2: Convert to fraction form
    391,497.62/540,241.12 = 230,321.50/x
  3. Step 3: Cross multiply
    391,497.62x = 540,241.12 × 230,321.50
  4. Step 4: Simplify right side
    391,497.62x = 124,429,145,120.08
  5. Step 5: Solve for x
    x = 124,429,145,120.08/391,497.62
  6. Step 6: Final answer
    x = 317,828.61

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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.