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Finding the Fourth Proportional to 281,513.81, 388,496.61 and 158,996.36

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Solution

The fourth proportional to 281,513.81, 388,496.61 and 158,996.36 is: 219,419.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,513.81 : 388,496.61 = 158,996.36 : x
  2. Step 2: Convert to fraction form
    281,513.81/388,496.61 = 158,996.36/x
  3. Step 3: Cross multiply
    281,513.81x = 388,496.61 × 158,996.36
  4. Step 4: Simplify right side
    281,513.81x = 61,769,547,833.58
  5. Step 5: Solve for x
    x = 61,769,547,833.58/281,513.81
  6. Step 6: Final answer
    x = 219,419.24

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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.