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Finding the Fourth Proportional to 289,256.80, 433,885.20 and 283,351.90

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Solution

The fourth proportional to 289,256.80, 433,885.20 and 283,351.90 is: 425,027.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,256.80 : 433,885.20 = 283,351.90 : x
  2. Step 2: Convert to fraction form
    289,256.80/433,885.20 = 283,351.90/x
  3. Step 3: Cross multiply
    289,256.80x = 433,885.20 × 283,351.90
  4. Step 4: Simplify right side
    289,256.80x = 122,942,195,801.88
  5. Step 5: Solve for x
    x = 122,942,195,801.88/289,256.80
  6. Step 6: Final answer
    x = 425,027.85

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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.