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Finding the Fourth Proportional to 258,649.32, 356,932.64 and 145,472.07

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Solution

The fourth proportional to 258,649.32, 356,932.64 and 145,472.07 is: 200,749.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,649.32 : 356,932.64 = 145,472.07 : x
  2. Step 2: Convert to fraction form
    258,649.32/356,932.64 = 145,472.07/x
  3. Step 3: Cross multiply
    258,649.32x = 356,932.64 × 145,472.07
  4. Step 4: Simplify right side
    258,649.32x = 51,923,729,991.36
  5. Step 5: Solve for x
    x = 51,923,729,991.36/258,649.32
  6. Step 6: Final answer
    x = 200,749.53

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1.5x scale

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.