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Finding the Fourth Proportional to 258,602.49, 356,848.34 and 143,877.33

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Solution

The fourth proportional to 258,602.49, 356,848.34 and 143,877.33 is: 198,537.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,602.49 : 356,848.34 = 143,877.33 : x
  2. Step 2: Convert to fraction form
    258,602.49/356,848.34 = 143,877.33/x
  3. Step 3: Cross multiply
    258,602.49x = 356,848.34 × 143,877.33
  4. Step 4: Simplify right side
    258,602.49x = 51,342,385,654.75
  5. Step 5: Solve for x
    x = 51,342,385,654.75/258,602.49
  6. Step 6: Final answer
    x = 198,537.86

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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.