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Finding the Fourth Proportional to 812,070, 1,120,640.40 and 449,493.75

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Solution

The fourth proportional to 812,070, 1,120,640.40 and 449,493.75 is: 620,292.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    812,070 : 1,120,640.40 = 449,493.75 : x
  2. Step 2: Convert to fraction form
    812,070/1,120,640.40 = 449,493.75/x
  3. Step 3: Cross multiply
    812,070x = 1,120,640.40 × 449,493.75
  4. Step 4: Simplify right side
    812,070x = 503,720,855,797.50
  5. Step 5: Solve for x
    x = 503,720,855,797.50/812,070
  6. Step 6: Final answer
    x = 620,292.41

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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.