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Finding the Fourth Proportional to 419,726.10, 629,589.15 and 302,502.90

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Solution

The fourth proportional to 419,726.10, 629,589.15 and 302,502.90 is: 453,754.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,726.10 : 629,589.15 = 302,502.90 : x
  2. Step 2: Convert to fraction form
    419,726.10/629,589.15 = 302,502.90/x
  3. Step 3: Cross multiply
    419,726.10x = 629,589.15 × 302,502.90
  4. Step 4: Simplify right side
    419,726.10x = 190,452,543,683.54
  5. Step 5: Solve for x
    x = 190,452,543,683.54/419,726.10
  6. Step 6: Final answer
    x = 453,754.35

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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.