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Finding the Fourth Proportional to 518,080.86, 714,988.18 and 288,653.22

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Solution

The fourth proportional to 518,080.86, 714,988.18 and 288,653.22 is: 398,361.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,080.86 : 714,988.18 = 288,653.22 : x
  2. Step 2: Convert to fraction form
    518,080.86/714,988.18 = 288,653.22/x
  3. Step 3: Cross multiply
    518,080.86x = 714,988.18 × 288,653.22
  4. Step 4: Simplify right side
    518,080.86x = 206,383,640,418.94
  5. Step 5: Solve for x
    x = 206,383,640,418.94/518,080.86
  6. Step 6: Final answer
    x = 398,361.83

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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.