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Finding the Fourth Proportional to 301,109.81, 415,664.87 and 210,820.73

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Solution

The fourth proportional to 301,109.81, 415,664.87 and 210,820.73 is: 291,025.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,109.81 : 415,664.87 = 210,820.73 : x
  2. Step 2: Convert to fraction form
    301,109.81/415,664.87 = 210,820.73/x
  3. Step 3: Cross multiply
    301,109.81x = 415,664.87 × 210,820.73
  4. Step 4: Simplify right side
    301,109.81x = 87,630,768,196.33
  5. Step 5: Solve for x
    x = 87,630,768,196.33/301,109.81
  6. Step 6: Final answer
    x = 291,025.95

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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.