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Finding the Fourth Proportional to 287,102.46, 396,193.14 and 159,775.32

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Solution

The fourth proportional to 287,102.46, 396,193.14 and 159,775.32 is: 220,485.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,102.46 : 396,193.14 = 159,775.32 : x
  2. Step 2: Convert to fraction form
    287,102.46/396,193.14 = 159,775.32/x
  3. Step 3: Cross multiply
    287,102.46x = 396,193.14 × 159,775.32
  4. Step 4: Simplify right side
    287,102.46x = 63,301,885,725.30
  5. Step 5: Solve for x
    x = 63,301,885,725.30/287,102.46
  6. Step 6: Final answer
    x = 220,485.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.