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Finding the Fourth Proportional to 288,675, 398,364.66 and 161,362.44

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Solution

The fourth proportional to 288,675, 398,364.66 and 161,362.44 is: 222,676.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,675 : 398,364.66 = 161,362.44 : x
  2. Step 2: Convert to fraction form
    288,675/398,364.66 = 161,362.44/x
  3. Step 3: Cross multiply
    288,675x = 398,364.66 × 161,362.44
  4. Step 4: Simplify right side
    288,675x = 64,281,093,547.37
  5. Step 5: Solve for x
    x = 64,281,093,547.37/288,675
  6. Step 6: Final answer
    x = 222,676.34

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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.