Finding the Fourth Proportional to 290,656,654,208.82, 435,983,151,827.58 and 156,414,378,602.28
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Solution
The fourth proportional to 290,656,654,208.82, 435,983,151,827.58 and 156,414,378,602.28 is: 234,620,583,381.45
Step by Step Solution
- Step 1: Write the proportion equation
290,656,654,208.82 : 435,983,151,827.58 = 156,414,378,602.28 : x - Step 2: Convert to fraction form
290,656,654,208.82/435,983,151,827.58 = 156,414,378,602.28/x - Step 3: Cross multiply
290,656,654,208.82x = 435,983,151,827.58 × 156,414,378,602.28 - Step 4: Simplify right side
290,656,654,208.82x = 68,194,033,774,174,425,579,520 - Step 5: Solve for x
x = 68,194,033,774,174,425,579,520/290,656,654,208.82 - Step 6: Final answer
x = 234,620,583,381.45
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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.