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Finding the Fourth Proportional to 262,622.94, 393,930.99 and 120,427.80

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Solution

The fourth proportional to 262,622.94, 393,930.99 and 120,427.80 is: 180,640.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,622.94 : 393,930.99 = 120,427.80 : x
  2. Step 2: Convert to fraction form
    262,622.94/393,930.99 = 120,427.80/x
  3. Step 3: Cross multiply
    262,622.94x = 393,930.99 × 120,427.80
  4. Step 4: Simplify right side
    262,622.94x = 47,440,242,477.52
  5. Step 5: Solve for x
    x = 47,440,242,477.52/262,622.94
  6. Step 6: Final answer
    x = 180,640.13

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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.