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Finding the Fourth Proportional to 391,491.20, 587,390.40 and 142,198.40

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Solution

The fourth proportional to 391,491.20, 587,390.40 and 142,198.40 is: 213,353.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,491.20 : 587,390.40 = 142,198.40 : x
  2. Step 2: Convert to fraction form
    391,491.20/587,390.40 = 142,198.40/x
  3. Step 3: Cross multiply
    391,491.20x = 587,390.40 × 142,198.40
  4. Step 4: Simplify right side
    391,491.20x = 83,525,975,055.36
  5. Step 5: Solve for x
    x = 83,525,975,055.36/391,491.20
  6. Step 6: Final answer
    x = 213,353.39

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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.