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Finding the Fourth Proportional to 286,077.28, 394,774.68 and 158,745.28

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Solution

The fourth proportional to 286,077.28, 394,774.68 and 158,745.28 is: 219,061.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,077.28 : 394,774.68 = 158,745.28 : x
  2. Step 2: Convert to fraction form
    286,077.28/394,774.68 = 158,745.28/x
  3. Step 3: Cross multiply
    286,077.28x = 394,774.68 × 158,745.28
  4. Step 4: Simplify right side
    286,077.28x = 62,668,617,113.51
  5. Step 5: Solve for x
    x = 62,668,617,113.51/286,077.28
  6. Step 6: Final answer
    x = 219,061.85

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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.