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Finding the Fourth Proportional to 307,911.20, 462,255.60 and 165,869.60

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Solution

The fourth proportional to 307,911.20, 462,255.60 and 165,869.60 is: 249,013.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,911.20 : 462,255.60 = 165,869.60 : x
  2. Step 2: Convert to fraction form
    307,911.20/462,255.60 = 165,869.60/x
  3. Step 3: Cross multiply
    307,911.20x = 462,255.60 × 165,869.60
  4. Step 4: Simplify right side
    307,911.20x = 76,674,151,469.76
  5. Step 5: Solve for x
    x = 76,674,151,469.76/307,911.20
  6. Step 6: Final answer
    x = 249,013.84

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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.