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Finding the Fourth Proportional to 203,464.78, 280,783.74 and 112,821.73

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Solution

The fourth proportional to 203,464.78, 280,783.74 and 112,821.73 is: 155,695.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,464.78 : 280,783.74 = 112,821.73 : x
  2. Step 2: Convert to fraction form
    203,464.78/280,783.74 = 112,821.73/x
  3. Step 3: Cross multiply
    203,464.78x = 280,783.74 × 112,821.73
  4. Step 4: Simplify right side
    203,464.78x = 31,678,507,302.67
  5. Step 5: Solve for x
    x = 31,678,507,302.67/203,464.78
  6. Step 6: Final answer
    x = 155,695.29

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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.