Finding the Fourth Proportional to 1,283,978,675.84, 1,925,360,883.84 and 497,400,740.48
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Solution
The fourth proportional to 1,283,978,675.84, 1,925,360,883.84 and 497,400,740.48 is: 745,865,914.55
Step by Step Solution
- Step 1: Write the proportion equation
1,283,978,675.84 : 1,925,360,883.84 = 497,400,740.48 : x - Step 2: Convert to fraction form
1,283,978,675.84/1,925,360,883.84 = 497,400,740.48/x - Step 3: Cross multiply
1,283,978,675.84x = 1,925,360,883.84 × 497,400,740.48 - Step 4: Simplify right side
1,283,978,675.84x = 957,675,929,313,243,264 - Step 5: Solve for x
x = 957,675,929,313,243,264/1,283,978,675.84 - Step 6: Final answer
x = 745,865,914.55
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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.