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Finding the Fourth Proportional to 421,179.86, 631,538.42 and 207,477.56

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Solution

The fourth proportional to 421,179.86, 631,538.42 and 207,477.56 is: 311,102.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,179.86 : 631,538.42 = 207,477.56 : x
  2. Step 2: Convert to fraction form
    421,179.86/631,538.42 = 207,477.56/x
  3. Step 3: Cross multiply
    421,179.86x = 631,538.42 × 207,477.56
  4. Step 4: Simplify right side
    421,179.86x = 131,030,050,427.86
  5. Step 5: Solve for x
    x = 131,030,050,427.86/421,179.86
  6. Step 6: Final answer
    x = 311,102.36

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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.