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Finding the Fourth Proportional to 458,309.76, 687,497.52 and 191,802

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Solution

The fourth proportional to 458,309.76, 687,497.52 and 191,802 is: 287,716.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,309.76 : 687,497.52 = 191,802 : x
  2. Step 2: Convert to fraction form
    458,309.76/687,497.52 = 191,802/x
  3. Step 3: Cross multiply
    458,309.76x = 687,497.52 × 191,802
  4. Step 4: Simplify right side
    458,309.76x = 131,863,399,331.04
  5. Step 5: Solve for x
    x = 131,863,399,331.04/458,309.76
  6. Step 6: Final answer
    x = 287,716.76

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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.