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Finding the Fourth Proportional to 419,420.52, 629,401.32 and 153,158.76

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Solution

The fourth proportional to 419,420.52, 629,401.32 and 153,158.76 is: 229,836.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,420.52 : 629,401.32 = 153,158.76 : x
  2. Step 2: Convert to fraction form
    419,420.52/629,401.32 = 153,158.76/x
  3. Step 3: Cross multiply
    419,420.52x = 629,401.32 × 153,158.76
  4. Step 4: Simplify right side
    419,420.52x = 96,398,325,713.56
  5. Step 5: Solve for x
    x = 96,398,325,713.56/419,420.52
  6. Step 6: Final answer
    x = 229,836.93

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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.