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Finding the Fourth Proportional to 286,868.96, 395,876.97 and 157,804.65

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Solution

The fourth proportional to 286,868.96, 395,876.97 and 157,804.65 is: 217,769.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,868.96 : 395,876.97 = 157,804.65 : x
  2. Step 2: Convert to fraction form
    286,868.96/395,876.97 = 157,804.65/x
  3. Step 3: Cross multiply
    286,868.96x = 395,876.97 × 157,804.65
  4. Step 4: Simplify right side
    286,868.96x = 62,471,228,078.11
  5. Step 5: Solve for x
    x = 62,471,228,078.11/286,868.96
  6. Step 6: Final answer
    x = 217,769.22

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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.