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Finding the Fourth Proportional to 1,021,466, 1,532,199 and 321,050

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Solution

The fourth proportional to 1,021,466, 1,532,199 and 321,050 is: 481,575

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021,466 : 1,532,199 = 321,050 : x
  2. Step 2: Convert to fraction form
    1,021,466/1,532,199 = 321,050/x
  3. Step 3: Cross multiply
    1,021,466x = 1,532,199 × 321,050
  4. Step 4: Simplify right side
    1,021,466x = 491,912,488,950
  5. Step 5: Solve for x
    x = 491,912,488,950/1,021,466
  6. Step 6: Final answer
    x = 481,575

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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.