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Finding the Fourth Proportional to 215,805.78, 297,820.53 and 120,329.46

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Solution

The fourth proportional to 215,805.78, 297,820.53 and 120,329.46 is: 166,059.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,805.78 : 297,820.53 = 120,329.46 : x
  2. Step 2: Convert to fraction form
    215,805.78/297,820.53 = 120,329.46/x
  3. Step 3: Cross multiply
    215,805.78x = 297,820.53 × 120,329.46
  4. Step 4: Simplify right side
    215,805.78x = 35,836,583,551.81
  5. Step 5: Solve for x
    x = 35,836,583,551.81/215,805.78
  6. Step 6: Final answer
    x = 166,059.42

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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.