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Finding the Fourth Proportional to 518,464, 715,480.32 and 280,000

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Solution

The fourth proportional to 518,464, 715,480.32 and 280,000 is: 386,400

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,464 : 715,480.32 = 280,000 : x
  2. Step 2: Convert to fraction form
    518,464/715,480.32 = 280,000/x
  3. Step 3: Cross multiply
    518,464x = 715,480.32 × 280,000
  4. Step 4: Simplify right side
    518,464x = 200,334,489,600
  5. Step 5: Solve for x
    x = 200,334,489,600/518,464
  6. Step 6: Final answer
    x = 386,400

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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.