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Finding the Fourth Proportional to 391,709.12, 587,153.60 and 164,135.04

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Solution

The fourth proportional to 391,709.12, 587,153.60 and 164,135.04 is: 246,030.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,709.12 : 587,153.60 = 164,135.04 : x
  2. Step 2: Convert to fraction form
    391,709.12/587,153.60 = 164,135.04/x
  3. Step 3: Cross multiply
    391,709.12x = 587,153.60 × 164,135.04
  4. Step 4: Simplify right side
    391,709.12x = 96,372,479,622.14
  5. Step 5: Solve for x
    x = 96,372,479,622.14/391,709.12
  6. Step 6: Final answer
    x = 246,030.73

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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.