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Finding the Fourth Proportional to 302,249.76, 417,104.66 and 166,280.78

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Solution

The fourth proportional to 302,249.76, 417,104.66 and 166,280.78 is: 229,467.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,249.76 : 417,104.66 = 166,280.78 : x
  2. Step 2: Convert to fraction form
    302,249.76/417,104.66 = 166,280.78/x
  3. Step 3: Cross multiply
    302,249.76x = 417,104.66 × 166,280.78
  4. Step 4: Simplify right side
    302,249.76x = 69,356,488,833.49
  5. Step 5: Solve for x
    x = 69,356,488,833.49/302,249.76
  6. Step 6: Final answer
    x = 229,467.48

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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.