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Finding the Fourth Proportional to 652,322.87, 977,211 and 449,440.37

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Solution

The fourth proportional to 652,322.87, 977,211 and 449,440.37 is: 673,283.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,322.87 : 977,211 = 449,440.37 : x
  2. Step 2: Convert to fraction form
    652,322.87/977,211 = 449,440.37/x
  3. Step 3: Cross multiply
    652,322.87x = 977,211 × 449,440.37
  4. Step 4: Simplify right side
    652,322.87x = 439,198,073,408.07
  5. Step 5: Solve for x
    x = 439,198,073,408.07/652,322.87
  6. Step 6: Final answer
    x = 673,283.27

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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.