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Finding the Fourth Proportional to 282,993.36, 390,539.08 and 162,146

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Solution

The fourth proportional to 282,993.36, 390,539.08 and 162,146 is: 223,766.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,993.36 : 390,539.08 = 162,146 : x
  2. Step 2: Convert to fraction form
    282,993.36/390,539.08 = 162,146/x
  3. Step 3: Cross multiply
    282,993.36x = 390,539.08 × 162,146
  4. Step 4: Simplify right side
    282,993.36x = 63,324,349,665.68
  5. Step 5: Solve for x
    x = 63,324,349,665.68/282,993.36
  6. Step 6: Final answer
    x = 223,766.20

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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.