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Finding the Fourth Proportional to 286,171.95, 394,897.52 and 158,837.52

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Solution

The fourth proportional to 286,171.95, 394,897.52 and 158,837.52 is: 219,184.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,171.95 : 394,897.52 = 158,837.52 : x
  2. Step 2: Convert to fraction form
    286,171.95/394,897.52 = 158,837.52/x
  3. Step 3: Cross multiply
    286,171.95x = 394,897.52 × 158,837.52
  4. Step 4: Simplify right side
    286,171.95x = 62,724,541,743.71
  5. Step 5: Solve for x
    x = 62,724,541,743.71/286,171.95
  6. Step 6: Final answer
    x = 219,184.80

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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.