Finding the Fourth Proportional to 840,663,402.12, 1,160,187,204.42 and 469,457,146.44
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Solution
The fourth proportional to 840,663,402.12, 1,160,187,204.42 and 469,457,146.44 is: 647,890,907.29
Step by Step Solution
- Step 1: Write the proportion equation
840,663,402.12 : 1,160,187,204.42 = 469,457,146.44 : x - Step 2: Convert to fraction form
840,663,402.12/1,160,187,204.42 = 469,457,146.44/x - Step 3: Cross multiply
840,663,402.12x = 1,160,187,204.42 × 469,457,146.44 - Step 4: Simplify right side
840,663,402.12x = 544,658,174,323,214,208 - Step 5: Solve for x
x = 544,658,174,323,214,208/840,663,402.12 - Step 6: Final answer
x = 647,890,907.29
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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.