Finding the Fourth Proportional to 1,292,082,204.41, 1,783,064,372.15 and 705,371,340.41
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Solution
The fourth proportional to 1,292,082,204.41, 1,783,064,372.15 and 705,371,340.41 is: 973,407,498.32
Step by Step Solution
- Step 1: Write the proportion equation
1,292,082,204.41 : 1,783,064,372.15 = 705,371,340.41 : x - Step 2: Convert to fraction form
1,292,082,204.41/1,783,064,372.15 = 705,371,340.41/x - Step 3: Cross multiply
1,292,082,204.41x = 1,783,064,372.15 × 705,371,340.41 - Step 4: Simplify right side
1,292,082,204.41x = 1,257,722,506,213,608,448 - Step 5: Solve for x
x = 1,257,722,506,213,608,448/1,292,082,204.41 - Step 6: Final answer
x = 973,407,498.32
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1.5x scale
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.