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Finding the Fourth Proportional to 309,711.96, 464,524.20 and 99,322.56

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Solution

The fourth proportional to 309,711.96, 464,524.20 and 99,322.56 is: 148,969.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,711.96 : 464,524.20 = 99,322.56 : x
  2. Step 2: Convert to fraction form
    309,711.96/464,524.20 = 99,322.56/x
  3. Step 3: Cross multiply
    309,711.96x = 464,524.20 × 99,322.56
  4. Step 4: Simplify right side
    309,711.96x = 46,137,732,725.95
  5. Step 5: Solve for x
    x = 46,137,732,725.95/309,711.96
  6. Step 6: Final answer
    x = 148,969.81

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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.