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Finding the Fourth Proportional to 215,886.28, 297,821.44 and 140,407.24

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Solution

The fourth proportional to 215,886.28, 297,821.44 and 140,407.24 is: 193,695.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,886.28 : 297,821.44 = 140,407.24 : x
  2. Step 2: Convert to fraction form
    215,886.28/297,821.44 = 140,407.24/x
  3. Step 3: Cross multiply
    215,886.28x = 297,821.44 × 140,407.24
  4. Step 4: Simplify right side
    215,886.28x = 41,816,286,403.23
  5. Step 5: Solve for x
    x = 41,816,286,403.23/215,886.28
  6. Step 6: Final answer
    x = 193,695.90

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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.