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Finding the Fourth Proportional to 213,284, 294,331.92 and 123,865.76

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Solution

The fourth proportional to 213,284, 294,331.92 and 123,865.76 is: 170,934.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,284 : 294,331.92 = 123,865.76 : x
  2. Step 2: Convert to fraction form
    213,284/294,331.92 = 123,865.76/x
  3. Step 3: Cross multiply
    213,284x = 294,331.92 × 123,865.76
  4. Step 4: Simplify right side
    213,284x = 36,457,646,963.06
  5. Step 5: Solve for x
    x = 36,457,646,963.06/213,284
  6. Step 6: Final answer
    x = 170,934.75

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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.