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Finding the Fourth Proportional to 420,098.58, 629,749.32 and 167,534.70

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Solution

The fourth proportional to 420,098.58, 629,749.32 and 167,534.70 is: 251,143.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,098.58 : 629,749.32 = 167,534.70 : x
  2. Step 2: Convert to fraction form
    420,098.58/629,749.32 = 167,534.70/x
  3. Step 3: Cross multiply
    420,098.58x = 629,749.32 × 167,534.70
  4. Step 4: Simplify right side
    420,098.58x = 105,504,863,401.40
  5. Step 5: Solve for x
    x = 105,504,863,401.40/420,098.58
  6. Step 6: Final answer
    x = 251,143.11

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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.