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Finding the Fourth Proportional to 303,288, 418,537.44 and 169,152

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Solution

The fourth proportional to 303,288, 418,537.44 and 169,152 is: 233,429.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,288 : 418,537.44 = 169,152 : x
  2. Step 2: Convert to fraction form
    303,288/418,537.44 = 169,152/x
  3. Step 3: Cross multiply
    303,288x = 418,537.44 × 169,152
  4. Step 4: Simplify right side
    303,288x = 70,796,445,050.88
  5. Step 5: Solve for x
    x = 70,796,445,050.88/303,288
  6. Step 6: Final answer
    x = 233,429.76

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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.