Finding the Fourth Proportional to 1,503,475,468.71, 2,255,299,386.32 and 398,051,601.09
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Solution
The fourth proportional to 1,503,475,468.71, 2,255,299,386.32 and 398,051,601.09 is: 597,100,219.02
Step by Step Solution
- Step 1: Write the proportion equation
1,503,475,468.71 : 2,255,299,386.32 = 398,051,601.09 : x - Step 2: Convert to fraction form
1,503,475,468.71/2,255,299,386.32 = 398,051,601.09/x - Step 3: Cross multiply
1,503,475,468.71x = 2,255,299,386.32 × 398,051,601.09 - Step 4: Simplify right side
1,503,475,468.71x = 897,725,531,661,970,432 - Step 5: Solve for x
x = 897,725,531,661,970,432/1,503,475,468.71 - Step 6: Final answer
x = 597,100,219.02
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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.