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Finding the Fourth Proportional to 419,603.57, 629,954.16 and 249,136.49

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Solution

The fourth proportional to 419,603.57, 629,954.16 and 249,136.49 is: 374,030.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,603.57 : 629,954.16 = 249,136.49 : x
  2. Step 2: Convert to fraction form
    419,603.57/629,954.16 = 249,136.49/x
  3. Step 3: Cross multiply
    419,603.57x = 629,954.16 × 249,136.49
  4. Step 4: Simplify right side
    419,603.57x = 156,944,565,133.53
  5. Step 5: Solve for x
    x = 156,944,565,133.53/419,603.57
  6. Step 6: Final answer
    x = 374,030.57

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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.