Finding the Fourth Proportional to 306,774,317,274.07, 460,161,475,911.10 and 127,640,768,672.70
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Solution
The fourth proportional to 306,774,317,274.07, 460,161,475,911.10 and 127,640,768,672.70 is: 191,461,153,009.05
Step by Step Solution
- Step 1: Write the proportion equation
306,774,317,274.07 : 460,161,475,911.10 = 127,640,768,672.70 : x - Step 2: Convert to fraction form
306,774,317,274.07/460,161,475,911.10 = 127,640,768,672.70/x - Step 3: Cross multiply
306,774,317,274.07x = 460,161,475,911.10 × 127,640,768,672.70 - Step 4: Simplify right side
306,774,317,274.07x = 58,735,364,498,856,926,511,104 - Step 5: Solve for x
x = 58,735,364,498,856,926,511,104/306,774,317,274.07 - Step 6: Final answer
x = 191,461,153,009.05
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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.