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Finding the Fourth Proportional to 286,770.45, 395,741.91 and 159,438.45

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Solution

The fourth proportional to 286,770.45, 395,741.91 and 159,438.45 is: 220,024.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,770.45 : 395,741.91 = 159,438.45 : x
  2. Step 2: Convert to fraction form
    286,770.45/395,741.91 = 159,438.45/x
  3. Step 3: Cross multiply
    286,770.45x = 395,741.91 × 159,438.45
  4. Step 4: Simplify right side
    286,770.45x = 63,096,476,730.44
  5. Step 5: Solve for x
    x = 63,096,476,730.44/286,770.45
  6. Step 6: Final answer
    x = 220,024.33

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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.