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Finding the Fourth Proportional to 294,457.60, 441,906.24 and 218,731

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Solution

The fourth proportional to 294,457.60, 441,906.24 and 218,731 is: 328,259.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,457.60 : 441,906.24 = 218,731 : x
  2. Step 2: Convert to fraction form
    294,457.60/441,906.24 = 218,731/x
  3. Step 3: Cross multiply
    294,457.60x = 441,906.24 × 218,731
  4. Step 4: Simplify right side
    294,457.60x = 96,658,593,781.44
  5. Step 5: Solve for x
    x = 96,658,593,781.44/294,457.60
  6. Step 6: Final answer
    x = 328,259.80

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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.