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Finding the Fourth Proportional to 262,420.97, 393,628.86 and 120,225.90

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Solution

The fourth proportional to 262,420.97, 393,628.86 and 120,225.90 is: 180,337.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,420.97 : 393,628.86 = 120,225.90 : x
  2. Step 2: Convert to fraction form
    262,420.97/393,628.86 = 120,225.90/x
  3. Step 3: Cross multiply
    262,420.97x = 393,628.86 × 120,225.90
  4. Step 4: Simplify right side
    262,420.97x = 47,324,385,645.04
  5. Step 5: Solve for x
    x = 47,324,385,645.04/262,420.97
  6. Step 6: Final answer
    x = 180,337.67

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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.