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Finding the Fourth Proportional to 286,873.46, 395,899.40 and 159,546.32

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Solution

The fourth proportional to 286,873.46, 395,899.40 and 159,546.32 is: 220,181.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,873.46 : 395,899.40 = 159,546.32 : x
  2. Step 2: Convert to fraction form
    286,873.46/395,899.40 = 159,546.32/x
  3. Step 3: Cross multiply
    286,873.46x = 395,899.40 × 159,546.32
  4. Step 4: Simplify right side
    286,873.46x = 63,164,291,562.48
  5. Step 5: Solve for x
    x = 63,164,291,562.48/286,873.46
  6. Step 6: Final answer
    x = 220,181.72

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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.