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Finding the Fourth Proportional to 421,471.02, 632,205.81 and 196,756.14

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Solution

The fourth proportional to 421,471.02, 632,205.81 and 196,756.14 is: 295,133.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,471.02 : 632,205.81 = 196,756.14 : x
  2. Step 2: Convert to fraction form
    421,471.02/632,205.81 = 196,756.14/x
  3. Step 3: Cross multiply
    421,471.02x = 632,205.81 × 196,756.14
  4. Step 4: Simplify right side
    421,471.02x = 124,390,374,861.17
  5. Step 5: Solve for x
    x = 124,390,374,861.17/421,471.02
  6. Step 6: Final answer
    x = 295,133.87

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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.