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Finding the Fourth Proportional to 492,290.33, 679,023.42 and 301,398.05

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Solution

The fourth proportional to 492,290.33, 679,023.42 and 301,398.05 is: 415,722.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,290.33 : 679,023.42 = 301,398.05 : x
  2. Step 2: Convert to fraction form
    492,290.33/679,023.42 = 301,398.05/x
  3. Step 3: Cross multiply
    492,290.33x = 679,023.42 × 301,398.05
  4. Step 4: Simplify right side
    492,290.33x = 204,656,334,692.33
  5. Step 5: Solve for x
    x = 204,656,334,692.33/492,290.33
  6. Step 6: Final answer
    x = 415,722.84

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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.