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Finding the Fourth Proportional to 402,517.08, 603,796.26 and 103,000.20

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Solution

The fourth proportional to 402,517.08, 603,796.26 and 103,000.20 is: 154,505.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,517.08 : 603,796.26 = 103,000.20 : x
  2. Step 2: Convert to fraction form
    402,517.08/603,796.26 = 103,000.20/x
  3. Step 3: Cross multiply
    402,517.08x = 603,796.26 × 103,000.20
  4. Step 4: Simplify right side
    402,517.08x = 62,191,135,539.25
  5. Step 5: Solve for x
    x = 62,191,135,539.25/402,517.08
  6. Step 6: Final answer
    x = 154,505.58

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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.