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Finding the Fourth Proportional to 391,511.20, 587,266.80 and 166,813.60

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Solution

The fourth proportional to 391,511.20, 587,266.80 and 166,813.60 is: 250,220.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,511.20 : 587,266.80 = 166,813.60 : x
  2. Step 2: Convert to fraction form
    391,511.20/587,266.80 = 166,813.60/x
  3. Step 3: Cross multiply
    391,511.20x = 587,266.80 × 166,813.60
  4. Step 4: Simplify right side
    391,511.20x = 97,964,089,068.48
  5. Step 5: Solve for x
    x = 97,964,089,068.48/391,511.20
  6. Step 6: Final answer
    x = 250,220.40

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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.