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Finding the Fourth Proportional to 309,786.88, 465,232 and 253,733.12

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Solution

The fourth proportional to 309,786.88, 465,232 and 253,733.12 is: 381,051.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,786.88 : 465,232 = 253,733.12 : x
  2. Step 2: Convert to fraction form
    309,786.88/465,232 = 253,733.12/x
  3. Step 3: Cross multiply
    309,786.88x = 465,232 × 253,733.12
  4. Step 4: Simplify right side
    309,786.88x = 118,044,766,883.84
  5. Step 5: Solve for x
    x = 118,044,766,883.84/309,786.88
  6. Step 6: Final answer
    x = 381,051.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.