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Finding the Fourth Proportional to 281,305.68, 388,201.96 and 153,982

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Solution

The fourth proportional to 281,305.68, 388,201.96 and 153,982 is: 212,495.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,305.68 : 388,201.96 = 153,982 : x
  2. Step 2: Convert to fraction form
    281,305.68/388,201.96 = 153,982/x
  3. Step 3: Cross multiply
    281,305.68x = 388,201.96 × 153,982
  4. Step 4: Simplify right side
    281,305.68x = 59,776,114,204.72
  5. Step 5: Solve for x
    x = 59,776,114,204.72/281,305.68
  6. Step 6: Final answer
    x = 212,495.23

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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.