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Finding the Fourth Proportional to 546,885.20, 819,744.60 and 209,795.60

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Solution

The fourth proportional to 546,885.20, 819,744.60 and 209,795.60 is: 314,469.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,885.20 : 819,744.60 = 209,795.60 : x
  2. Step 2: Convert to fraction form
    546,885.20/819,744.60 = 209,795.60/x
  3. Step 3: Cross multiply
    546,885.20x = 819,744.60 × 209,795.60
  4. Step 4: Simplify right side
    546,885.20x = 171,978,810,203.76
  5. Step 5: Solve for x
    x = 171,978,810,203.76/546,885.20
  6. Step 6: Final answer
    x = 314,469.67

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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.