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Finding the Fourth Proportional to 258,955.68, 357,365.52 and 145,782.48

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Solution

The fourth proportional to 258,955.68, 357,365.52 and 145,782.48 is: 201,183.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,955.68 : 357,365.52 = 145,782.48 : x
  2. Step 2: Convert to fraction form
    258,955.68/357,365.52 = 145,782.48/x
  3. Step 3: Cross multiply
    258,955.68x = 357,365.52 × 145,782.48
  4. Step 4: Simplify right side
    258,955.68x = 52,097,631,772.09
  5. Step 5: Solve for x
    x = 52,097,631,772.09/258,955.68
  6. Step 6: Final answer
    x = 201,183.58

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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.