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Finding the Fourth Proportional to 510,640.68, 766,062.51 and 173,590.83

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Solution

The fourth proportional to 510,640.68, 766,062.51 and 173,590.83 is: 260,420.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,640.68 : 766,062.51 = 173,590.83 : x
  2. Step 2: Convert to fraction form
    510,640.68/766,062.51 = 173,590.83/x
  3. Step 3: Cross multiply
    510,640.68x = 766,062.51 × 173,590.83
  4. Step 4: Simplify right side
    510,640.68x = 132,981,426,942.78
  5. Step 5: Solve for x
    x = 132,981,426,942.78/510,640.68
  6. Step 6: Final answer
    x = 260,420.75

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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.