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Finding the Fourth Proportional to 258,740.60, 357,052.74 and 144,015.44

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Solution

The fourth proportional to 258,740.60, 357,052.74 and 144,015.44 is: 198,736.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,740.60 : 357,052.74 = 144,015.44 : x
  2. Step 2: Convert to fraction form
    258,740.60/357,052.74 = 144,015.44/x
  3. Step 3: Cross multiply
    258,740.60x = 357,052.74 × 144,015.44
  4. Step 4: Simplify right side
    258,740.60x = 51,421,107,454.31
  5. Step 5: Solve for x
    x = 51,421,107,454.31/258,740.60
  6. Step 6: Final answer
    x = 198,736.14

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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.