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Finding the Fourth Proportional to 286,709.41, 395,661.68 and 157,654.57

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Solution

The fourth proportional to 286,709.41, 395,661.68 and 157,654.57 is: 217,564.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,709.41 : 395,661.68 = 157,654.57 : x
  2. Step 2: Convert to fraction form
    286,709.41/395,661.68 = 157,654.57/x
  3. Step 3: Cross multiply
    286,709.41x = 395,661.68 × 157,654.57
  4. Step 4: Simplify right side
    286,709.41x = 62,377,872,025.88
  5. Step 5: Solve for x
    x = 62,377,872,025.88/286,709.41
  6. Step 6: Final answer
    x = 217,564.79

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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.