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Finding the Fourth Proportional to 518,405.78, 715,403.24 and 288,977.64

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Solution

The fourth proportional to 518,405.78, 715,403.24 and 288,977.64 is: 398,790.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,405.78 : 715,403.24 = 288,977.64 : x
  2. Step 2: Convert to fraction form
    518,405.78/715,403.24 = 288,977.64/x
  3. Step 3: Cross multiply
    518,405.78x = 715,403.24 × 288,977.64
  4. Step 4: Simplify right side
    518,405.78x = 206,735,539,943.55
  5. Step 5: Solve for x
    x = 206,735,539,943.55/518,405.78
  6. Step 6: Final answer
    x = 398,790.96

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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.