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Finding the Fourth Proportional to 258,649.34, 356,936.01 and 145,472

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Solution

The fourth proportional to 258,649.34, 356,936.01 and 145,472 is: 200,751.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,649.34 : 356,936.01 = 145,472 : x
  2. Step 2: Convert to fraction form
    258,649.34/356,936.01 = 145,472/x
  3. Step 3: Cross multiply
    258,649.34x = 356,936.01 × 145,472
  4. Step 4: Simplify right side
    258,649.34x = 51,924,195,246.72
  5. Step 5: Solve for x
    x = 51,924,195,246.72/258,649.34
  6. Step 6: Final answer
    x = 200,751.32

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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.