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Finding the Fourth Proportional to 290,523.20, 435,201.60 and 165,718.40

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Solution

The fourth proportional to 290,523.20, 435,201.60 and 165,718.40 is: 248,244.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,523.20 : 435,201.60 = 165,718.40 : x
  2. Step 2: Convert to fraction form
    290,523.20/435,201.60 = 165,718.40/x
  3. Step 3: Cross multiply
    290,523.20x = 435,201.60 × 165,718.40
  4. Step 4: Simplify right side
    290,523.20x = 72,120,912,829.44
  5. Step 5: Solve for x
    x = 72,120,912,829.44/290,523.20
  6. Step 6: Final answer
    x = 248,244.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.