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Finding the Fourth Proportional to 281,936, 389,035.92 and 154,578.08

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Solution

The fourth proportional to 281,936, 389,035.92 and 154,578.08 is: 213,298.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,936 : 389,035.92 = 154,578.08 : x
  2. Step 2: Convert to fraction form
    281,936/389,035.92 = 154,578.08/x
  3. Step 3: Cross multiply
    281,936x = 389,035.92 × 154,578.08
  4. Step 4: Simplify right side
    281,936x = 60,136,425,564.63
  5. Step 5: Solve for x
    x = 60,136,425,564.63/281,936
  6. Step 6: Final answer
    x = 213,298.14

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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.