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Finding the Fourth Proportional to 396,643.80, 594,090.90 and 238,596.60

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Solution

The fourth proportional to 396,643.80, 594,090.90 and 238,596.60 is: 357,368.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,643.80 : 594,090.90 = 238,596.60 : x
  2. Step 2: Convert to fraction form
    396,643.80/594,090.90 = 238,596.60/x
  3. Step 3: Cross multiply
    396,643.80x = 594,090.90 × 238,596.60
  4. Step 4: Simplify right side
    396,643.80x = 141,748,068,830.94
  5. Step 5: Solve for x
    x = 141,748,068,830.94/396,643.80
  6. Step 6: Final answer
    x = 357,368.67

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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.