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Finding the Fourth Proportional to 288,154.81, 397,643.96 and 159,091.13

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Solution

The fourth proportional to 288,154.81, 397,643.96 and 159,091.13 is: 219,540.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,154.81 : 397,643.96 = 159,091.13 : x
  2. Step 2: Convert to fraction form
    288,154.81/397,643.96 = 159,091.13/x
  3. Step 3: Cross multiply
    288,154.81x = 397,643.96 × 159,091.13
  4. Step 4: Simplify right side
    288,154.81x = 63,261,628,325.91
  5. Step 5: Solve for x
    x = 63,261,628,325.91/288,154.81
  6. Step 6: Final answer
    x = 219,540.42

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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.