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Finding the Fourth Proportional to 288,813.20, 433,211.70 and 131,041.40

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Solution

The fourth proportional to 288,813.20, 433,211.70 and 131,041.40 is: 196,558.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,813.20 : 433,211.70 = 131,041.40 : x
  2. Step 2: Convert to fraction form
    288,813.20/433,211.70 = 131,041.40/x
  3. Step 3: Cross multiply
    288,813.20x = 433,211.70 × 131,041.40
  4. Step 4: Simplify right side
    288,813.20x = 56,768,667,664.38
  5. Step 5: Solve for x
    x = 56,768,667,664.38/288,813.20
  6. Step 6: Final answer
    x = 196,558.42

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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.