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Finding the Fourth Proportional to 518,858, 716,025 and 280,394

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Solution

The fourth proportional to 518,858, 716,025 and 280,394 is: 386,944.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,858 : 716,025 = 280,394 : x
  2. Step 2: Convert to fraction form
    518,858/716,025 = 280,394/x
  3. Step 3: Cross multiply
    518,858x = 716,025 × 280,394
  4. Step 4: Simplify right side
    518,858x = 200,769,113,850
  5. Step 5: Solve for x
    x = 200,769,113,850/518,858
  6. Step 6: Final answer
    x = 386,944.24

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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.