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Finding the Fourth Proportional to 286,705.92, 395,664.32 and 157,654.21

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Solution

The fourth proportional to 286,705.92, 395,664.32 and 157,654.21 is: 217,568.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,705.92 : 395,664.32 = 157,654.21 : x
  2. Step 2: Convert to fraction form
    286,705.92/395,664.32 = 157,654.21/x
  3. Step 3: Cross multiply
    286,705.92x = 395,664.32 × 157,654.21
  4. Step 4: Simplify right side
    286,705.92x = 62,378,145,794.79
  5. Step 5: Solve for x
    x = 62,378,145,794.79/286,705.92
  6. Step 6: Final answer
    x = 217,568.39

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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.