Finding the Fourth Proportional to 491,435,792,167.68, 737,153,688,251.52 and 138,108,306,199.68
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Solution
The fourth proportional to 491,435,792,167.68, 737,153,688,251.52 and 138,108,306,199.68 is: 207,162,459,299.52
Step by Step Solution
- Step 1: Write the proportion equation
491,435,792,167.68 : 737,153,688,251.52 = 138,108,306,199.68 : x - Step 2: Convert to fraction form
491,435,792,167.68/737,153,688,251.52 = 138,108,306,199.68/x - Step 3: Cross multiply
491,435,792,167.68x = 737,153,688,251.52 × 138,108,306,199.68 - Step 4: Simplify right side
491,435,792,167.68x = 101,807,047,293,264,380,035,072 - Step 5: Solve for x
x = 101,807,047,293,264,380,035,072/491,435,792,167.68 - Step 6: Final answer
x = 207,162,459,299.52
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1.5x scale
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.