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Finding the Fourth Proportional to 421,410.87, 632,021.49 and 121,824.72

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Solution

The fourth proportional to 421,410.87, 632,021.49 and 121,824.72 is: 182,709.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,410.87 : 632,021.49 = 121,824.72 : x
  2. Step 2: Convert to fraction form
    421,410.87/632,021.49 = 121,824.72/x
  3. Step 3: Cross multiply
    421,410.87x = 632,021.49 × 121,824.72
  4. Step 4: Simplify right side
    421,410.87x = 76,995,841,053.23
  5. Step 5: Solve for x
    x = 76,995,841,053.23/421,410.87
  6. Step 6: Final answer
    x = 182,709.67

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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.