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Finding the Fourth Proportional to 219,460.32, 302,850 and 123,963.84

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Solution

The fourth proportional to 219,460.32, 302,850 and 123,963.84 is: 171,067.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,460.32 : 302,850 = 123,963.84 : x
  2. Step 2: Convert to fraction form
    219,460.32/302,850 = 123,963.84/x
  3. Step 3: Cross multiply
    219,460.32x = 302,850 × 123,963.84
  4. Step 4: Simplify right side
    219,460.32x = 37,542,448,944
  5. Step 5: Solve for x
    x = 37,542,448,944/219,460.32
  6. Step 6: Final answer
    x = 171,067.14

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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.