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Finding the Fourth Proportional to 288,811.20, 433,208.70 and 131,039.40

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Solution

The fourth proportional to 288,811.20, 433,208.70 and 131,039.40 is: 196,555.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,811.20 : 433,208.70 = 131,039.40 : x
  2. Step 2: Convert to fraction form
    288,811.20/433,208.70 = 131,039.40/x
  3. Step 3: Cross multiply
    288,811.20x = 433,208.70 × 131,039.40
  4. Step 4: Simplify right side
    288,811.20x = 56,767,408,122.78
  5. Step 5: Solve for x
    x = 56,767,408,122.78/288,811.20
  6. Step 6: Final answer
    x = 196,555.42

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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.