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Finding the Fourth Proportional to 258,901.56, 357,198.48 and 151,395.42

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Solution

The fourth proportional to 258,901.56, 357,198.48 and 151,395.42 is: 208,875.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,901.56 : 357,198.48 = 151,395.42 : x
  2. Step 2: Convert to fraction form
    258,901.56/357,198.48 = 151,395.42/x
  3. Step 3: Cross multiply
    258,901.56x = 357,198.48 × 151,395.42
  4. Step 4: Simplify right side
    258,901.56x = 54,078,213,902.96
  5. Step 5: Solve for x
    x = 54,078,213,902.96/258,901.56
  6. Step 6: Final answer
    x = 208,875.58

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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.