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Finding the Fourth Proportional to 420,940.74, 631,411.11 and 154,586.01

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Solution

The fourth proportional to 420,940.74, 631,411.11 and 154,586.01 is: 231,879.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,940.74 : 631,411.11 = 154,586.01 : x
  2. Step 2: Convert to fraction form
    420,940.74/631,411.11 = 154,586.01/x
  3. Step 3: Cross multiply
    420,940.74x = 631,411.11 × 154,586.01
  4. Step 4: Simplify right side
    420,940.74x = 97,607,324,164.57
  5. Step 5: Solve for x
    x = 97,607,324,164.57/420,940.74
  6. Step 6: Final answer
    x = 231,879.02

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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.