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Finding the Fourth Proportional to 258,291.54, 356,448.90 and 142,003.58

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Solution

The fourth proportional to 258,291.54, 356,448.90 and 142,003.58 is: 195,968.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,291.54 : 356,448.90 = 142,003.58 : x
  2. Step 2: Convert to fraction form
    258,291.54/356,448.90 = 142,003.58/x
  3. Step 3: Cross multiply
    258,291.54x = 356,448.90 × 142,003.58
  4. Step 4: Simplify right side
    258,291.54x = 50,617,019,887.06
  5. Step 5: Solve for x
    x = 50,617,019,887.06/258,291.54
  6. Step 6: Final answer
    x = 195,968.56

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1.5x scale

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.