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Finding the Fourth Proportional to 518,466, 715,483.08 and 280,002

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Solution

The fourth proportional to 518,466, 715,483.08 and 280,002 is: 386,402.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,466 : 715,483.08 = 280,002 : x
  2. Step 2: Convert to fraction form
    518,466/715,483.08 = 280,002/x
  3. Step 3: Cross multiply
    518,466x = 715,483.08 × 280,002
  4. Step 4: Simplify right side
    518,466x = 200,336,693,366.16
  5. Step 5: Solve for x
    x = 200,336,693,366.16/518,466
  6. Step 6: Final answer
    x = 386,402.76

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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.