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Finding the Fourth Proportional to 512,658.60, 768,809.81 and 285,301.17

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Solution

The fourth proportional to 512,658.60, 768,809.81 and 285,301.17 is: 427,852.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,658.60 : 768,809.81 = 285,301.17 : x
  2. Step 2: Convert to fraction form
    512,658.60/768,809.81 = 285,301.17/x
  3. Step 3: Cross multiply
    512,658.60x = 768,809.81 × 285,301.17
  4. Step 4: Simplify right side
    512,658.60x = 219,342,338,300.48
  5. Step 5: Solve for x
    x = 219,342,338,300.48/512,658.60
  6. Step 6: Final answer
    x = 427,852.65

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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.