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Finding the Fourth Proportional to 518,978.01, 716,067.62 and 315,023.86

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Solution

The fourth proportional to 518,978.01, 716,067.62 and 315,023.86 is: 434,658.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,978.01 : 716,067.62 = 315,023.86 : x
  2. Step 2: Convert to fraction form
    518,978.01/716,067.62 = 315,023.86/x
  3. Step 3: Cross multiply
    518,978.01x = 716,067.62 × 315,023.86
  4. Step 4: Simplify right side
    518,978.01x = 225,578,382,093.08
  5. Step 5: Solve for x
    x = 225,578,382,093.08/518,978.01
  6. Step 6: Final answer
    x = 434,658.84

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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.