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Finding the Fourth Proportional to 287,676.74, 396,999.12 and 160,338.67

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Solution

The fourth proportional to 287,676.74, 396,999.12 and 160,338.67 is: 221,270.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,676.74 : 396,999.12 = 160,338.67 : x
  2. Step 2: Convert to fraction form
    287,676.74/396,999.12 = 160,338.67/x
  3. Step 3: Cross multiply
    287,676.74x = 396,999.12 × 160,338.67
  4. Step 4: Simplify right side
    287,676.74x = 63,654,310,500.74
  5. Step 5: Solve for x
    x = 63,654,310,500.74/287,676.74
  6. Step 6: Final answer
    x = 221,270.27

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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.