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Finding the Fourth Proportional to 1,458,640, 2,012,992.32 and 822,736

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Solution

The fourth proportional to 1,458,640, 2,012,992.32 and 822,736 is: 1,135,414.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,458,640 : 2,012,992.32 = 822,736 : x
  2. Step 2: Convert to fraction form
    1,458,640/2,012,992.32 = 822,736/x
  3. Step 3: Cross multiply
    1,458,640x = 2,012,992.32 × 822,736
  4. Step 4: Simplify right side
    1,458,640x = 1,656,161,249,387.52
  5. Step 5: Solve for x
    x = 1,656,161,249,387.52/1,458,640
  6. Step 6: Final answer
    x = 1,135,414.67

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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.