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Finding the Fourth Proportional to 258,647.34, 356,933.25 and 145,470

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Solution

The fourth proportional to 258,647.34, 356,933.25 and 145,470 is: 200,748.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,647.34 : 356,933.25 = 145,470 : x
  2. Step 2: Convert to fraction form
    258,647.34/356,933.25 = 145,470/x
  3. Step 3: Cross multiply
    258,647.34x = 356,933.25 × 145,470
  4. Step 4: Simplify right side
    258,647.34x = 51,923,079,877.50
  5. Step 5: Solve for x
    x = 51,923,079,877.50/258,647.34
  6. Step 6: Final answer
    x = 200,748.56

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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.