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Finding the Fourth Proportional to 215,224.24, 297,005 and 119,728.88

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Solution

The fourth proportional to 215,224.24, 297,005 and 119,728.88 is: 165,223.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,224.24 : 297,005 = 119,728.88 : x
  2. Step 2: Convert to fraction form
    215,224.24/297,005 = 119,728.88/x
  3. Step 3: Cross multiply
    215,224.24x = 297,005 × 119,728.88
  4. Step 4: Simplify right side
    215,224.24x = 35,560,076,004.40
  5. Step 5: Solve for x
    x = 35,560,076,004.40/215,224.24
  6. Step 6: Final answer
    x = 165,223.38

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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.