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Finding the Fourth Proportional to 216,273.65, 298,458.27 and 120,783.96

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Solution

The fourth proportional to 216,273.65, 298,458.27 and 120,783.96 is: 166,682.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,273.65 : 298,458.27 = 120,783.96 : x
  2. Step 2: Convert to fraction form
    216,273.65/298,458.27 = 120,783.96/x
  3. Step 3: Cross multiply
    216,273.65x = 298,458.27 × 120,783.96
  4. Step 4: Simplify right side
    216,273.65x = 36,048,971,745.35
  5. Step 5: Solve for x
    x = 36,048,971,745.35/216,273.65
  6. Step 6: Final answer
    x = 166,682.22

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1.5x scale

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.