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Finding the Fourth Proportional to 421,177.86, 631,535.43 and 207,475.56

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Solution

The fourth proportional to 421,177.86, 631,535.43 and 207,475.56 is: 311,099.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,177.86 : 631,535.43 = 207,475.56 : x
  2. Step 2: Convert to fraction form
    421,177.86/631,535.43 = 207,475.56/x
  3. Step 3: Cross multiply
    421,177.86x = 631,535.43 × 207,475.56
  4. Step 4: Simplify right side
    421,177.86x = 131,028,166,999.09
  5. Step 5: Solve for x
    x = 131,028,166,999.09/421,177.86
  6. Step 6: Final answer
    x = 311,099.37

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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.