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Finding the Fourth Proportional to 518,851.82, 715,906.14 and 315,009.92

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Solution

The fourth proportional to 518,851.82, 715,906.14 and 315,009.92 is: 434,647.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,851.82 : 715,906.14 = 315,009.92 : x
  2. Step 2: Convert to fraction form
    518,851.82/715,906.14 = 315,009.92/x
  3. Step 3: Cross multiply
    518,851.82x = 715,906.14 × 315,009.92
  4. Step 4: Simplify right side
    518,851.82x = 225,517,535,888.91
  5. Step 5: Solve for x
    x = 225,517,535,888.91/518,851.82
  6. Step 6: Final answer
    x = 434,647.29

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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.