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Finding the Fourth Proportional to 395,428.50, 593,020.08 and 142,676.10

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Solution

The fourth proportional to 395,428.50, 593,020.08 and 142,676.10 is: 213,969.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,428.50 : 593,020.08 = 142,676.10 : x
  2. Step 2: Convert to fraction form
    395,428.50/593,020.08 = 142,676.10/x
  3. Step 3: Cross multiply
    395,428.50x = 593,020.08 × 142,676.10
  4. Step 4: Simplify right side
    395,428.50x = 84,609,792,236.09
  5. Step 5: Solve for x
    x = 84,609,792,236.09/395,428.50
  6. Step 6: Final answer
    x = 213,969.89

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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.