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Finding the Fourth Proportional to 258,645.77, 356,927.67 and 145,468.52

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Solution

The fourth proportional to 258,645.77, 356,927.67 and 145,468.52 is: 200,744.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,645.77 : 356,927.67 = 145,468.52 : x
  2. Step 2: Convert to fraction form
    258,645.77/356,927.67 = 145,468.52/x
  3. Step 3: Cross multiply
    258,645.77x = 356,927.67 × 145,468.52
  4. Step 4: Simplify right side
    258,645.77x = 51,921,738,117.31
  5. Step 5: Solve for x
    x = 51,921,738,117.31/258,645.77
  6. Step 6: Final answer
    x = 200,744.59

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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.