Finding the Fourth Proportional to 1,020,508,874.68, 1,408,737,563.49 and 686,175,189.88
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Solution
The fourth proportional to 1,020,508,874.68, 1,408,737,563.49 and 686,175,189.88 is: 947,214,462.41
Step by Step Solution
- Step 1: Write the proportion equation
1,020,508,874.68 : 1,408,737,563.49 = 686,175,189.88 : x - Step 2: Convert to fraction form
1,020,508,874.68/1,408,737,563.49 = 686,175,189.88/x - Step 3: Cross multiply
1,020,508,874.68x = 1,408,737,563.49 × 686,175,189.88 - Step 4: Simplify right side
1,020,508,874.68x = 966,640,765,118,839,296 - Step 5: Solve for x
x = 966,640,765,118,839,296/1,020,508,874.68 - Step 6: Final answer
x = 947,214,462.41
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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.