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Finding the Fourth Proportional to 282,008.82, 389,170.06 and 154,683.50

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Solution

The fourth proportional to 282,008.82, 389,170.06 and 154,683.50 is: 213,462.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,008.82 : 389,170.06 = 154,683.50 : x
  2. Step 2: Convert to fraction form
    282,008.82/389,170.06 = 154,683.50/x
  3. Step 3: Cross multiply
    282,008.82x = 389,170.06 × 154,683.50
  4. Step 4: Simplify right side
    282,008.82x = 60,198,186,976.01
  5. Step 5: Solve for x
    x = 60,198,186,976.01/282,008.82
  6. Step 6: Final answer
    x = 213,462.07

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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.