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Finding the Fourth Proportional to 258,469.08, 356,703.66 and 145,299.12

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Solution

The fourth proportional to 258,469.08, 356,703.66 and 145,299.12 is: 200,521.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,469.08 : 356,703.66 = 145,299.12 : x
  2. Step 2: Convert to fraction form
    258,469.08/356,703.66 = 145,299.12/x
  3. Step 3: Cross multiply
    258,469.08x = 356,703.66 × 145,299.12
  4. Step 4: Simplify right side
    258,469.08x = 51,828,727,898.78
  5. Step 5: Solve for x
    x = 51,828,727,898.78/258,469.08
  6. Step 6: Final answer
    x = 200,521.97

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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.