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Finding the Fourth Proportional to 288,187.76, 397,783.57 and 167,383.35

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Solution

The fourth proportional to 288,187.76, 397,783.57 and 167,383.35 is: 231,038.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,187.76 : 397,783.57 = 167,383.35 : x
  2. Step 2: Convert to fraction form
    288,187.76/397,783.57 = 167,383.35/x
  3. Step 3: Cross multiply
    288,187.76x = 397,783.57 × 167,383.35
  4. Step 4: Simplify right side
    288,187.76x = 66,582,346,521.56
  5. Step 5: Solve for x
    x = 66,582,346,521.56/288,187.76
  6. Step 6: Final answer
    x = 231,038.08

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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.