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Finding the Fourth Proportional to 282,774.12, 390,169.40 and 168,093.32

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Solution

The fourth proportional to 282,774.12, 390,169.40 and 168,093.32 is: 231,933.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,774.12 : 390,169.40 = 168,093.32 : x
  2. Step 2: Convert to fraction form
    282,774.12/390,169.40 = 168,093.32/x
  3. Step 3: Cross multiply
    282,774.12x = 390,169.40 × 168,093.32
  4. Step 4: Simplify right side
    282,774.12x = 65,584,867,017.09
  5. Step 5: Solve for x
    x = 65,584,867,017.09/282,774.12
  6. Step 6: Final answer
    x = 231,933.77

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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.