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Finding the Fourth Proportional to 330,077.59, 495,057.85 and 150,120.86

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Solution

The fourth proportional to 330,077.59, 495,057.85 and 150,120.86 is: 225,154.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,077.59 : 495,057.85 = 150,120.86 : x
  2. Step 2: Convert to fraction form
    330,077.59/495,057.85 = 150,120.86/x
  3. Step 3: Cross multiply
    330,077.59x = 495,057.85 × 150,120.86
  4. Step 4: Simplify right side
    330,077.59x = 74,318,510,970.29
  5. Step 5: Solve for x
    x = 74,318,510,970.29/330,077.59
  6. Step 6: Final answer
    x = 225,154.67

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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.