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Finding the Fourth Proportional to 259,185.66, 387,900.36 and 159,409.14

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Solution

The fourth proportional to 259,185.66, 387,900.36 and 159,409.14 is: 238,573.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,185.66 : 387,900.36 = 159,409.14 : x
  2. Step 2: Convert to fraction form
    259,185.66/387,900.36 = 159,409.14/x
  3. Step 3: Cross multiply
    259,185.66x = 387,900.36 × 159,409.14
  4. Step 4: Simplify right side
    259,185.66x = 61,834,862,793.29
  5. Step 5: Solve for x
    x = 61,834,862,793.29/259,185.66
  6. Step 6: Final answer
    x = 238,573.63

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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.