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Finding the Fourth Proportional to 258,928.56, 357,352.56 and 145,772.64

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Solution

The fourth proportional to 258,928.56, 357,352.56 and 145,772.64 is: 201,183.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,928.56 : 357,352.56 = 145,772.64 : x
  2. Step 2: Convert to fraction form
    258,928.56/357,352.56 = 145,772.64/x
  3. Step 3: Cross multiply
    258,928.56x = 357,352.56 × 145,772.64
  4. Step 4: Simplify right side
    258,928.56x = 52,092,226,081.96
  5. Step 5: Solve for x
    x = 52,092,226,081.96/258,928.56
  6. Step 6: Final answer
    x = 201,183.78

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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.