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Finding the Fourth Proportional to 286,819.62, 395,820.72 and 157,763.58

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Solution

The fourth proportional to 286,819.62, 395,820.72 and 157,763.58 is: 217,719.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,819.62 : 395,820.72 = 157,763.58 : x
  2. Step 2: Convert to fraction form
    286,819.62/395,820.72 = 157,763.58/x
  3. Step 3: Cross multiply
    286,819.62x = 395,820.72 × 157,763.58
  4. Step 4: Simplify right side
    286,819.62x = 62,446,093,825.38
  5. Step 5: Solve for x
    x = 62,446,093,825.38/286,819.62
  6. Step 6: Final answer
    x = 217,719.05

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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.