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Finding the Fourth Proportional to 219,473.94, 302,898.62 and 123,986.78

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Solution

The fourth proportional to 219,473.94, 302,898.62 and 123,986.78 is: 171,115.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,473.94 : 302,898.62 = 123,986.78 : x
  2. Step 2: Convert to fraction form
    219,473.94/302,898.62 = 123,986.78/x
  3. Step 3: Cross multiply
    219,473.94x = 302,898.62 × 123,986.78
  4. Step 4: Simplify right side
    219,473.94x = 37,555,426,195.39
  5. Step 5: Solve for x
    x = 37,555,426,195.39/219,473.94
  6. Step 6: Final answer
    x = 171,115.65

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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.