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Finding the Fourth Proportional to 510,390.08, 765,585.11 and 210,878.42

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Solution

The fourth proportional to 510,390.08, 765,585.11 and 210,878.42 is: 316,317.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,390.08 : 765,585.11 = 210,878.42 : x
  2. Step 2: Convert to fraction form
    510,390.08/765,585.11 = 210,878.42/x
  3. Step 3: Cross multiply
    510,390.08x = 765,585.11 × 210,878.42
  4. Step 4: Simplify right side
    510,390.08x = 161,445,375,716.28
  5. Step 5: Solve for x
    x = 161,445,375,716.28/510,390.08
  6. Step 6: Final answer
    x = 316,317.62

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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.