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Finding the Fourth Proportional to 258,643.94, 356,928.59 and 143,929.96

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Solution

The fourth proportional to 258,643.94, 356,928.59 and 143,929.96 is: 198,623.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,643.94 : 356,928.59 = 143,929.96 : x
  2. Step 2: Convert to fraction form
    258,643.94/356,928.59 = 143,929.96/x
  3. Step 3: Cross multiply
    258,643.94x = 356,928.59 × 143,929.96
  4. Step 4: Simplify right side
    258,643.94x = 51,372,717,149.06
  5. Step 5: Solve for x
    x = 51,372,717,149.06/258,643.94
  6. Step 6: Final answer
    x = 198,623.32

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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.