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Finding the Fourth Proportional to 330,509.76, 495,760.68 and 120,145.92

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Solution

The fourth proportional to 330,509.76, 495,760.68 and 120,145.92 is: 180,217.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,509.76 : 495,760.68 = 120,145.92 : x
  2. Step 2: Convert to fraction form
    330,509.76/495,760.68 = 120,145.92/x
  3. Step 3: Cross multiply
    330,509.76x = 495,760.68 × 120,145.92
  4. Step 4: Simplify right side
    330,509.76x = 59,563,622,998.43
  5. Step 5: Solve for x
    x = 59,563,622,998.43/330,509.76
  6. Step 6: Final answer
    x = 180,217.44

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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.