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Finding the Fourth Proportional to 307,977.60, 462,225.60 and 150,340.80

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Solution

The fourth proportional to 307,977.60, 462,225.60 and 150,340.80 is: 225,637.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,977.60 : 462,225.60 = 150,340.80 : x
  2. Step 2: Convert to fraction form
    307,977.60/462,225.60 = 150,340.80/x
  3. Step 3: Cross multiply
    307,977.60x = 462,225.60 × 150,340.80
  4. Step 4: Simplify right side
    307,977.60x = 69,491,366,484.48
  5. Step 5: Solve for x
    x = 69,491,366,484.48/307,977.60
  6. Step 6: Final answer
    x = 225,637.73

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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.