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Finding the Fourth Proportional to 488,268, 673,753.14 and 284,363.46

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Solution

The fourth proportional to 488,268, 673,753.14 and 284,363.46 is: 392,388.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,268 : 673,753.14 = 284,363.46 : x
  2. Step 2: Convert to fraction form
    488,268/673,753.14 = 284,363.46/x
  3. Step 3: Cross multiply
    488,268x = 673,753.14 × 284,363.46
  4. Step 4: Simplify right side
    488,268x = 191,590,774,076.26
  5. Step 5: Solve for x
    x = 191,590,774,076.26/488,268
  6. Step 6: Final answer
    x = 392,388.55

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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.