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Finding the Fourth Proportional to 286,704.92, 395,662.94 and 157,653.21

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Solution

The fourth proportional to 286,704.92, 395,662.94 and 157,653.21 is: 217,567.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,704.92 : 395,662.94 = 157,653.21 : x
  2. Step 2: Convert to fraction form
    286,704.92/395,662.94 = 157,653.21/x
  3. Step 3: Cross multiply
    286,704.92x = 395,662.94 × 157,653.21
  4. Step 4: Simplify right side
    286,704.92x = 62,377,531,780.77
  5. Step 5: Solve for x
    x = 62,377,531,780.77/286,704.92
  6. Step 6: Final answer
    x = 217,567.01

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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.