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Finding the Fourth Proportional to 286,570.82, 395,453.28 and 159,243.68

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Solution

The fourth proportional to 286,570.82, 395,453.28 and 159,243.68 is: 219,748.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,570.82 : 395,453.28 = 159,243.68 : x
  2. Step 2: Convert to fraction form
    286,570.82/395,453.28 = 159,243.68/x
  3. Step 3: Cross multiply
    286,570.82x = 395,453.28 × 159,243.68
  4. Step 4: Simplify right side
    286,570.82x = 62,973,435,575.27
  5. Step 5: Solve for x
    x = 62,973,435,575.27/286,570.82
  6. Step 6: Final answer
    x = 219,748.25

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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.