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Finding the Fourth Proportional to 512,292.31, 768,370.41 and 152,456.71

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Solution

The fourth proportional to 512,292.31, 768,370.41 and 152,456.71 is: 228,664.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,292.31 : 768,370.41 = 152,456.71 : x
  2. Step 2: Convert to fraction form
    512,292.31/768,370.41 = 152,456.71/x
  3. Step 3: Cross multiply
    512,292.31x = 768,370.41 × 152,456.71
  4. Step 4: Simplify right side
    512,292.31x = 117,143,224,769.95
  5. Step 5: Solve for x
    x = 117,143,224,769.95/512,292.31
  6. Step 6: Final answer
    x = 228,664.81

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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.