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Finding the Fourth Proportional to 286,424, 395,265.34 and 157,370.78

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Solution

The fourth proportional to 286,424, 395,265.34 and 157,370.78 is: 217,171.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,424 : 395,265.34 = 157,370.78 : x
  2. Step 2: Convert to fraction form
    286,424/395,265.34 = 157,370.78/x
  3. Step 3: Cross multiply
    286,424x = 395,265.34 × 157,370.78
  4. Step 4: Simplify right side
    286,424x = 62,203,214,862.77
  5. Step 5: Solve for x
    x = 62,203,214,862.77/286,424
  6. Step 6: Final answer
    x = 217,171.80

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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.