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Finding the Fourth Proportional to 302,257.82, 417,115.81 and 166,288.86

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Solution

The fourth proportional to 302,257.82, 417,115.81 and 166,288.86 is: 229,478.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,257.82 : 417,115.81 = 166,288.86 : x
  2. Step 2: Convert to fraction form
    302,257.82/417,115.81 = 166,288.86/x
  3. Step 3: Cross multiply
    302,257.82x = 417,115.81 × 166,288.86
  4. Step 4: Simplify right side
    302,257.82x = 69,361,712,740.74
  5. Step 5: Solve for x
    x = 69,361,712,740.74/302,257.82
  6. Step 6: Final answer
    x = 229,478.64

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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.