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Finding the Fourth Proportional to 318,098.96, 438,965.43 and 174,857.98

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Solution

The fourth proportional to 318,098.96, 438,965.43 and 174,857.98 is: 241,297.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,098.96 : 438,965.43 = 174,857.98 : x
  2. Step 2: Convert to fraction form
    318,098.96/438,965.43 = 174,857.98/x
  3. Step 3: Cross multiply
    318,098.96x = 438,965.43 × 174,857.98
  4. Step 4: Simplify right side
    318,098.96x = 76,756,606,184.80
  5. Step 5: Solve for x
    x = 76,756,606,184.80/318,098.96
  6. Step 6: Final answer
    x = 241,297.88

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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.