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Finding the Fourth Proportional to 518,814, 715,963.32 and 280,350

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Solution

The fourth proportional to 518,814, 715,963.32 and 280,350 is: 386,883

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,814 : 715,963.32 = 280,350 : x
  2. Step 2: Convert to fraction form
    518,814/715,963.32 = 280,350/x
  3. Step 3: Cross multiply
    518,814x = 715,963.32 × 280,350
  4. Step 4: Simplify right side
    518,814x = 200,720,316,762
  5. Step 5: Solve for x
    x = 200,720,316,762/518,814
  6. Step 6: Final answer
    x = 386,883

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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.