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Finding the Fourth Proportional to 419,792.16, 629,502.96 and 120,204.72

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Solution

The fourth proportional to 419,792.16, 629,502.96 and 120,204.72 is: 180,254.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,792.16 : 629,502.96 = 120,204.72 : x
  2. Step 2: Convert to fraction form
    419,792.16/629,502.96 = 120,204.72/x
  3. Step 3: Cross multiply
    419,792.16x = 629,502.96 × 120,204.72
  4. Step 4: Simplify right side
    419,792.16x = 75,669,227,045.97
  5. Step 5: Solve for x
    x = 75,669,227,045.97/419,792.16
  6. Step 6: Final answer
    x = 180,254.03

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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.