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Finding the Fourth Proportional to 288,299.68, 398,040.56 and 258,032.48

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Solution

The fourth proportional to 288,299.68, 398,040.56 and 258,032.48 is: 356,252.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,299.68 : 398,040.56 = 258,032.48 : x
  2. Step 2: Convert to fraction form
    288,299.68/398,040.56 = 258,032.48/x
  3. Step 3: Cross multiply
    288,299.68x = 398,040.56 × 258,032.48
  4. Step 4: Simplify right side
    288,299.68x = 102,707,392,837.39
  5. Step 5: Solve for x
    x = 102,707,392,837.39/288,299.68
  6. Step 6: Final answer
    x = 356,252.19

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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.