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Finding the Fourth Proportional to 389,212.80, 583,819.20 and 256,243.20

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Solution

The fourth proportional to 389,212.80, 583,819.20 and 256,243.20 is: 384,364.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,212.80 : 583,819.20 = 256,243.20 : x
  2. Step 2: Convert to fraction form
    389,212.80/583,819.20 = 256,243.20/x
  3. Step 3: Cross multiply
    389,212.80x = 583,819.20 × 256,243.20
  4. Step 4: Simplify right side
    389,212.80x = 149,599,700,029.44
  5. Step 5: Solve for x
    x = 149,599,700,029.44/389,212.80
  6. Step 6: Final answer
    x = 384,364.80

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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.