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Finding the Fourth Proportional to 258,884, 357,268.56 and 158,262.56

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Solution

The fourth proportional to 258,884, 357,268.56 and 158,262.56 is: 218,407.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,884 : 357,268.56 = 158,262.56 : x
  2. Step 2: Convert to fraction form
    258,884/357,268.56 = 158,262.56/x
  3. Step 3: Cross multiply
    258,884x = 357,268.56 × 158,262.56
  4. Step 4: Simplify right side
    258,884x = 56,542,236,913.11
  5. Step 5: Solve for x
    x = 56,542,236,913.11/258,884
  6. Step 6: Final answer
    x = 218,407.61

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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.