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Finding the Fourth Proportional to 521,743.82, 720,024.27 and 292,310.78

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Solution

The fourth proportional to 521,743.82, 720,024.27 and 292,310.78 is: 403,398.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,743.82 : 720,024.27 = 292,310.78 : x
  2. Step 2: Convert to fraction form
    521,743.82/720,024.27 = 292,310.78/x
  3. Step 3: Cross multiply
    521,743.82x = 720,024.27 × 292,310.78
  4. Step 4: Simplify right side
    521,743.82x = 210,470,855,982.63
  5. Step 5: Solve for x
    x = 210,470,855,982.63/521,743.82
  6. Step 6: Final answer
    x = 403,398.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.