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Finding the Fourth Proportional to 510,677.52, 765,299.22 and 403,590.66

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Solution

The fourth proportional to 510,677.52, 765,299.22 and 403,590.66 is: 604,819.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,677.52 : 765,299.22 = 403,590.66 : x
  2. Step 2: Convert to fraction form
    510,677.52/765,299.22 = 403,590.66/x
  3. Step 3: Cross multiply
    510,677.52x = 765,299.22 × 403,590.66
  4. Step 4: Simplify right side
    510,677.52x = 308,867,617,297.29
  5. Step 5: Solve for x
    x = 308,867,617,297.29/510,677.52
  6. Step 6: Final answer
    x = 604,819.29

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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.