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Finding the Fourth Proportional to 290,523.71, 400,921.20 and 159,704.40

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Solution

The fourth proportional to 290,523.71, 400,921.20 and 159,704.40 is: 220,391.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,523.71 : 400,921.20 = 159,704.40 : x
  2. Step 2: Convert to fraction form
    290,523.71/400,921.20 = 159,704.40/x
  3. Step 3: Cross multiply
    290,523.71x = 400,921.20 × 159,704.40
  4. Step 4: Simplify right side
    290,523.71x = 64,028,880,597.84
  5. Step 5: Solve for x
    x = 64,028,880,597.84/290,523.71
  6. Step 6: Final answer
    x = 220,391.24

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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.