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Finding the Fourth Proportional to 289,019.80, 433,238.10 and 131,361.40

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Solution

The fourth proportional to 289,019.80, 433,238.10 and 131,361.40 is: 196,909.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,019.80 : 433,238.10 = 131,361.40 : x
  2. Step 2: Convert to fraction form
    289,019.80/433,238.10 = 131,361.40/x
  3. Step 3: Cross multiply
    289,019.80x = 433,238.10 × 131,361.40
  4. Step 4: Simplify right side
    289,019.80x = 56,910,763,349.34
  5. Step 5: Solve for x
    x = 56,910,763,349.34/289,019.80
  6. Step 6: Final answer
    x = 196,909.57

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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.