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Finding the Fourth Proportional to 258,489.01, 356,711.41 and 145,311.76

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Solution

The fourth proportional to 258,489.01, 356,711.41 and 145,311.76 is: 200,528.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,489.01 : 356,711.41 = 145,311.76 : x
  2. Step 2: Convert to fraction form
    258,489.01/356,711.41 = 145,311.76/x
  3. Step 3: Cross multiply
    258,489.01x = 356,711.41 × 145,311.76
  4. Step 4: Simplify right side
    258,489.01x = 51,834,362,799.18
  5. Step 5: Solve for x
    x = 51,834,362,799.18/258,489.01
  6. Step 6: Final answer
    x = 200,528.30

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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.