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Finding the Fourth Proportional to 510,078.32, 765,022.30 and 206,392.89

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Solution

The fourth proportional to 510,078.32, 765,022.30 and 206,392.89 is: 309,550.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,078.32 : 765,022.30 = 206,392.89 : x
  2. Step 2: Convert to fraction form
    510,078.32/765,022.30 = 206,392.89/x
  3. Step 3: Cross multiply
    510,078.32x = 765,022.30 × 206,392.89
  4. Step 4: Simplify right side
    510,078.32x = 157,895,162,895.47
  5. Step 5: Solve for x
    x = 157,895,162,895.47/510,078.32
  6. Step 6: Final answer
    x = 309,550.82

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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.