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Finding the Fourth Proportional to 419,907,613.40, 629,861,420.10 and 404,602,112.60

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Solution

The fourth proportional to 419,907,613.40, 629,861,420.10 and 404,602,112.60 is: 606,903,168.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,907,613.40 : 629,861,420.10 = 404,602,112.60 : x
  2. Step 2: Convert to fraction form
    419,907,613.40/629,861,420.10 = 404,602,112.60/x
  3. Step 3: Cross multiply
    419,907,613.40x = 629,861,420.10 × 404,602,112.60
  4. Step 4: Simplify right side
    419,907,613.40x = 254,843,261,217,696,128
  5. Step 5: Solve for x
    x = 254,843,261,217,696,128/419,907,613.40
  6. Step 6: Final answer
    x = 606,903,168.90

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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.