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Finding the Fourth Proportional to 288,934.20, 433,401.30 and 194,455.80

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Solution

The fourth proportional to 288,934.20, 433,401.30 and 194,455.80 is: 291,683.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,934.20 : 433,401.30 = 194,455.80 : x
  2. Step 2: Convert to fraction form
    288,934.20/433,401.30 = 194,455.80/x
  3. Step 3: Cross multiply
    288,934.20x = 433,401.30 × 194,455.80
  4. Step 4: Simplify right side
    288,934.20x = 84,277,396,512.54
  5. Step 5: Solve for x
    x = 84,277,396,512.54/288,934.20
  6. Step 6: Final answer
    x = 291,683.70

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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.