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Finding the Fourth Proportional to 419,890.70, 629,646.50 and 120,302.70

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Solution

The fourth proportional to 419,890.70, 629,646.50 and 120,302.70 is: 180,399.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,890.70 : 629,646.50 = 120,302.70 : x
  2. Step 2: Convert to fraction form
    419,890.70/629,646.50 = 120,302.70/x
  3. Step 3: Cross multiply
    419,890.70x = 629,646.50 × 120,302.70
  4. Step 4: Simplify right side
    419,890.70x = 75,748,173,995.55
  5. Step 5: Solve for x
    x = 75,748,173,995.55/419,890.70
  6. Step 6: Final answer
    x = 180,399.74

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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.