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Finding the Fourth Proportional to 512,659.60, 768,811.31 and 285,302.17

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Solution

The fourth proportional to 512,659.60, 768,811.31 and 285,302.17 is: 427,854.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,659.60 : 768,811.31 = 285,302.17 : x
  2. Step 2: Convert to fraction form
    512,659.60/768,811.31 = 285,302.17/x
  3. Step 3: Cross multiply
    512,659.60x = 768,811.31 × 285,302.17
  4. Step 4: Simplify right side
    512,659.60x = 219,343,535,063.54
  5. Step 5: Solve for x
    x = 219,343,535,063.54/512,659.60
  6. Step 6: Final answer
    x = 427,854.15

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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.