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Finding the Fourth Proportional to 281,974.96, 389,130.78 and 154,657

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Solution

The fourth proportional to 281,974.96, 389,130.78 and 154,657 is: 213,429.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,974.96 : 389,130.78 = 154,657 : x
  2. Step 2: Convert to fraction form
    281,974.96/389,130.78 = 154,657/x
  3. Step 3: Cross multiply
    281,974.96x = 389,130.78 × 154,657
  4. Step 4: Simplify right side
    281,974.96x = 60,181,799,042.46
  5. Step 5: Solve for x
    x = 60,181,799,042.46/281,974.96
  6. Step 6: Final answer
    x = 213,429.59

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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.