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Finding the Fourth Proportional to 219,298.64, 302,632.20 and 123,811.49

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Solution

The fourth proportional to 219,298.64, 302,632.20 and 123,811.49 is: 170,859.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,298.64 : 302,632.20 = 123,811.49 : x
  2. Step 2: Convert to fraction form
    219,298.64/302,632.20 = 123,811.49/x
  3. Step 3: Cross multiply
    219,298.64x = 302,632.20 × 123,811.49
  4. Step 4: Simplify right side
    219,298.64x = 37,469,342,658.25
  5. Step 5: Solve for x
    x = 37,469,342,658.25/219,298.64
  6. Step 6: Final answer
    x = 170,859.89

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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.