Finding the Fourth Proportional to 514,782,246,506.70, 710,399,616,136.20 and 283,295,765,775.33
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Solution
The fourth proportional to 514,782,246,506.70, 710,399,616,136.20 and 283,295,765,775.33 is: 390,948,220,583.57
Step by Step Solution
- Step 1: Write the proportion equation
514,782,246,506.70 : 710,399,616,136.20 = 283,295,765,775.33 : x - Step 2: Convert to fraction form
514,782,246,506.70/710,399,616,136.20 = 283,295,765,775.33/x - Step 3: Cross multiply
514,782,246,506.70x = 710,399,616,136.20 × 283,295,765,775.33 - Step 4: Simplify right side
514,782,246,506.70x = 201,253,203,259,805,241,704,448 - Step 5: Solve for x
x = 201,253,203,259,805,241,704,448/514,782,246,506.70 - Step 6: Final answer
x = 390,948,220,583.57
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.