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Finding the Fourth Proportional to 303,856.95, 419,320.14 and 167,890.35

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Solution

The fourth proportional to 303,856.95, 419,320.14 and 167,890.35 is: 231,687.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,856.95 : 419,320.14 = 167,890.35 : x
  2. Step 2: Convert to fraction form
    303,856.95/419,320.14 = 167,890.35/x
  3. Step 3: Cross multiply
    303,856.95x = 419,320.14 × 167,890.35
  4. Step 4: Simplify right side
    303,856.95x = 70,399,806,953.89
  5. Step 5: Solve for x
    x = 70,399,806,953.89/303,856.95
  6. Step 6: Final answer
    x = 231,687.33

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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.