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Finding the Fourth Proportional to 1,398,408.40, 1,929,823.49 and 825,448.57

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Solution

The fourth proportional to 1,398,408.40, 1,929,823.49 and 825,448.57 is: 1,139,130.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398,408.40 : 1,929,823.49 = 825,448.57 : x
  2. Step 2: Convert to fraction form
    1,398,408.40/1,929,823.49 = 825,448.57/x
  3. Step 3: Cross multiply
    1,398,408.40x = 1,929,823.49 × 825,448.57
  4. Step 4: Simplify right side
    1,398,408.40x = 1,592,970,040,172.91
  5. Step 5: Solve for x
    x = 1,592,970,040,172.91/1,398,408.40
  6. Step 6: Final answer
    x = 1,139,130.77

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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.