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Finding the Fourth Proportional to 510,460.62, 765,691.18 and 210,611.64

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Solution

The fourth proportional to 510,460.62, 765,691.18 and 210,611.64 is: 315,917.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,460.62 : 765,691.18 = 210,611.64 : x
  2. Step 2: Convert to fraction form
    510,460.62/765,691.18 = 210,611.64/x
  3. Step 3: Cross multiply
    510,460.62x = 765,691.18 × 210,611.64
  4. Step 4: Simplify right side
    510,460.62x = 161,263,477,498.15
  5. Step 5: Solve for x
    x = 161,263,477,498.15/510,460.62
  6. Step 6: Final answer
    x = 315,917.57

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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.