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Finding the Fourth Proportional to 399,446,544.80, 599,169,817.20 and 338,980,368.80

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Solution

The fourth proportional to 399,446,544.80, 599,169,817.20 and 338,980,368.80 is: 508,470,553.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,446,544.80 : 599,169,817.20 = 338,980,368.80 : x
  2. Step 2: Convert to fraction form
    399,446,544.80/599,169,817.20 = 338,980,368.80/x
  3. Step 3: Cross multiply
    399,446,544.80x = 599,169,817.20 × 338,980,368.80
  4. Step 4: Simplify right side
    399,446,544.80x = 203,106,805,608,284,608
  5. Step 5: Solve for x
    x = 203,106,805,608,284,608/399,446,544.80
  6. Step 6: Final answer
    x = 508,470,553.20

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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.