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Finding the Fourth Proportional to 258,982.64, 357,390.48 and 144,260.84

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Solution

The fourth proportional to 258,982.64, 357,390.48 and 144,260.84 is: 199,076.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,982.64 : 357,390.48 = 144,260.84 : x
  2. Step 2: Convert to fraction form
    258,982.64/357,390.48 = 144,260.84/x
  3. Step 3: Cross multiply
    258,982.64x = 357,390.48 × 144,260.84
  4. Step 4: Simplify right side
    258,982.64x = 51,557,450,852.80
  5. Step 5: Solve for x
    x = 51,557,450,852.80/258,982.64
  6. Step 6: Final answer
    x = 199,076.86

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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.