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Finding the Fourth Proportional to 1,021,464, 1,532,196 and 321,048

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Solution

The fourth proportional to 1,021,464, 1,532,196 and 321,048 is: 481,572

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021,464 : 1,532,196 = 321,048 : x
  2. Step 2: Convert to fraction form
    1,021,464/1,532,196 = 321,048/x
  3. Step 3: Cross multiply
    1,021,464x = 1,532,196 × 321,048
  4. Step 4: Simplify right side
    1,021,464x = 491,908,461,408
  5. Step 5: Solve for x
    x = 491,908,461,408/1,021,464
  6. Step 6: Final answer
    x = 481,572

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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.