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Finding the Fourth Proportional to 395,429.31, 593,021.25 and 142,676.98

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Solution

The fourth proportional to 395,429.31, 593,021.25 and 142,676.98 is: 213,971.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,429.31 : 593,021.25 = 142,676.98 : x
  2. Step 2: Convert to fraction form
    395,429.31/593,021.25 = 142,676.98/x
  3. Step 3: Cross multiply
    395,429.31x = 593,021.25 × 142,676.98
  4. Step 4: Simplify right side
    395,429.31x = 84,610,479,543.27
  5. Step 5: Solve for x
    x = 84,610,479,543.27/395,429.31
  6. Step 6: Final answer
    x = 213,971.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.