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Finding the Fourth Proportional to 318,649.39, 478,046.09 and 105,416.80

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Solution

The fourth proportional to 318,649.39, 478,046.09 and 105,416.80 is: 158,149.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,649.39 : 478,046.09 = 105,416.80 : x
  2. Step 2: Convert to fraction form
    318,649.39/478,046.09 = 105,416.80/x
  3. Step 3: Cross multiply
    318,649.39x = 478,046.09 × 105,416.80
  4. Step 4: Simplify right side
    318,649.39x = 50,394,086,143.00
  5. Step 5: Solve for x
    x = 50,394,086,143.00/318,649.39
  6. Step 6: Final answer
    x = 158,149.01

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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.