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Finding the Fourth Proportional to 510,446.52, 765,611.28 and 136,498.68

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Solution

The fourth proportional to 510,446.52, 765,611.28 and 136,498.68 is: 204,732.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,446.52 : 765,611.28 = 136,498.68 : x
  2. Step 2: Convert to fraction form
    510,446.52/765,611.28 = 136,498.68/x
  3. Step 3: Cross multiply
    510,446.52x = 765,611.28 × 136,498.68
  4. Step 4: Simplify right side
    510,446.52x = 104,504,929,113.11
  5. Step 5: Solve for x
    x = 104,504,929,113.11/510,446.52
  6. Step 6: Final answer
    x = 204,732.38

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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.