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Finding the Fourth Proportional to 419,603.29, 629,953.74 and 249,136.21

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Solution

The fourth proportional to 419,603.29, 629,953.74 and 249,136.21 is: 374,030.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,603.29 : 629,953.74 = 249,136.21 : x
  2. Step 2: Convert to fraction form
    419,603.29/629,953.74 = 249,136.21/x
  3. Step 3: Cross multiply
    419,603.29x = 629,953.74 × 249,136.21
  4. Step 4: Simplify right side
    419,603.29x = 156,944,284,502.88
  5. Step 5: Solve for x
    x = 156,944,284,502.88/419,603.29
  6. Step 6: Final answer
    x = 374,030.16

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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.