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Finding the Fourth Proportional to 361,077.80, 498,132.98 and 217,756.36

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Solution

The fourth proportional to 361,077.80, 498,132.98 and 217,756.36 is: 300,410.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,077.80 : 498,132.98 = 217,756.36 : x
  2. Step 2: Convert to fraction form
    361,077.80/498,132.98 = 217,756.36/x
  3. Step 3: Cross multiply
    361,077.80x = 498,132.98 × 217,756.36
  4. Step 4: Simplify right side
    361,077.80x = 108,471,624,520.75
  5. Step 5: Solve for x
    x = 108,471,624,520.75/361,077.80
  6. Step 6: Final answer
    x = 300,410.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.