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Finding the Fourth Proportional to 286,177.95, 394,897.14 and 158,839.92

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Solution

The fourth proportional to 286,177.95, 394,897.14 and 158,839.92 is: 219,183.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,177.95 : 394,897.14 = 158,839.92 : x
  2. Step 2: Convert to fraction form
    286,177.95/394,897.14 = 158,839.92/x
  3. Step 3: Cross multiply
    286,177.95x = 394,897.14 × 158,839.92
  4. Step 4: Simplify right side
    286,177.95x = 62,725,430,125.83
  5. Step 5: Solve for x
    x = 62,725,430,125.83/286,177.95
  6. Step 6: Final answer
    x = 219,183.31

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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.