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Finding the Fourth Proportional to 420,969.96, 631,704.12 and 154,917.36

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Solution

The fourth proportional to 420,969.96, 631,704.12 and 154,917.36 is: 232,467.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,969.96 : 631,704.12 = 154,917.36 : x
  2. Step 2: Convert to fraction form
    420,969.96/631,704.12 = 154,917.36/x
  3. Step 3: Cross multiply
    420,969.96x = 631,704.12 × 154,917.36
  4. Step 4: Simplify right side
    420,969.96x = 97,861,934,571.52
  5. Step 5: Solve for x
    x = 97,861,934,571.52/420,969.96
  6. Step 6: Final answer
    x = 232,467.74

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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.