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Finding the Fourth Proportional to 518,708.36, 715,837.56 and 292,349

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Solution

The fourth proportional to 518,708.36, 715,837.56 and 292,349 is: 403,452.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,708.36 : 715,837.56 = 292,349 : x
  2. Step 2: Convert to fraction form
    518,708.36/715,837.56 = 292,349/x
  3. Step 3: Cross multiply
    518,708.36x = 715,837.56 × 292,349
  4. Step 4: Simplify right side
    518,708.36x = 209,274,394,828.44
  5. Step 5: Solve for x
    x = 209,274,394,828.44/518,708.36
  6. Step 6: Final answer
    x = 403,452.91

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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.