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Finding the Fourth Proportional to 419,604.32, 629,955.29 and 249,137.24

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Solution

The fourth proportional to 419,604.32, 629,955.29 and 249,137.24 is: 374,031.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,604.32 : 629,955.29 = 249,137.24 : x
  2. Step 2: Convert to fraction form
    419,604.32/629,955.29 = 249,137.24/x
  3. Step 3: Cross multiply
    419,604.32x = 629,955.29 × 249,137.24
  4. Step 4: Simplify right side
    419,604.32x = 156,945,317,878.54
  5. Step 5: Solve for x
    x = 156,945,317,878.54/419,604.32
  6. Step 6: Final answer
    x = 374,031.70

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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.