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Finding the Fourth Proportional to 458,319.76, 687,512.52 and 191,812

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Solution

The fourth proportional to 458,319.76, 687,512.52 and 191,812 is: 287,731.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,319.76 : 687,512.52 = 191,812 : x
  2. Step 2: Convert to fraction form
    458,319.76/687,512.52 = 191,812/x
  3. Step 3: Cross multiply
    458,319.76x = 687,512.52 × 191,812
  4. Step 4: Simplify right side
    458,319.76x = 131,873,151,486.24
  5. Step 5: Solve for x
    x = 131,873,151,486.24/458,319.76
  6. Step 6: Final answer
    x = 287,731.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.