Finding the Fourth Proportional to 285,201,652,292.50, 393,587,718,994.26 and 156,747,654,025.26
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Solution
The fourth proportional to 285,201,652,292.50, 393,587,718,994.26 and 156,747,654,025.26 is: 216,316,950,163.50
Step by Step Solution
- Step 1: Write the proportion equation
285,201,652,292.50 : 393,587,718,994.26 = 156,747,654,025.26 : x - Step 2: Convert to fraction form
285,201,652,292.50/393,587,718,994.26 = 156,747,654,025.26/x - Step 3: Cross multiply
285,201,652,292.50x = 393,587,718,994.26 × 156,747,654,025.26 - Step 4: Simplify right side
285,201,652,292.50x = 61,693,951,605,503,529,320,448 - Step 5: Solve for x
x = 61,693,951,605,503,529,320,448/285,201,652,292.50 - Step 6: Final answer
x = 216,316,950,163.50
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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.