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Finding the Fourth Proportional to 286,774.16, 395,740.20 and 159,447.44

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Solution

The fourth proportional to 286,774.16, 395,740.20 and 159,447.44 is: 220,032.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,774.16 : 395,740.20 = 159,447.44 : x
  2. Step 2: Convert to fraction form
    286,774.16/395,740.20 = 159,447.44/x
  3. Step 3: Cross multiply
    286,774.16x = 395,740.20 × 159,447.44
  4. Step 4: Simplify right side
    286,774.16x = 63,099,761,795.09
  5. Step 5: Solve for x
    x = 63,099,761,795.09/286,774.16
  6. Step 6: Final answer
    x = 220,032.94

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1.5x scale

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.