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Finding the Fourth Proportional to 1,021,458, 1,532,187 and 321,042

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Solution

The fourth proportional to 1,021,458, 1,532,187 and 321,042 is: 481,563

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021,458 : 1,532,187 = 321,042 : x
  2. Step 2: Convert to fraction form
    1,021,458/1,532,187 = 321,042/x
  3. Step 3: Cross multiply
    1,021,458x = 1,532,187 × 321,042
  4. Step 4: Simplify right side
    1,021,458x = 491,896,378,854
  5. Step 5: Solve for x
    x = 491,896,378,854/1,021,458
  6. Step 6: Final answer
    x = 481,563

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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.