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Finding the Fourth Proportional to 1,408,971.69, 1,944,381.63 and 764,391.72

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Solution

The fourth proportional to 1,408,971.69, 1,944,381.63 and 764,391.72 is: 1,054,860.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,408,971.69 : 1,944,381.63 = 764,391.72 : x
  2. Step 2: Convert to fraction form
    1,408,971.69/1,944,381.63 = 764,391.72/x
  3. Step 3: Cross multiply
    1,408,971.69x = 1,944,381.63 × 764,391.72
  4. Step 4: Simplify right side
    1,408,971.69x = 1,486,269,218,492.10
  5. Step 5: Solve for x
    x = 1,486,269,218,492.10/1,408,971.69
  6. Step 6: Final answer
    x = 1,054,860.95

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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.