Finding the Fourth Proportional to 824,795,546.68, 1,138,209,852.12 and 448,452,129.46
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Solution
The fourth proportional to 824,795,546.68, 1,138,209,852.12 and 448,452,129.46 is: 618,859,587.70
Step by Step Solution
- Step 1: Write the proportion equation
824,795,546.68 : 1,138,209,852.12 = 448,452,129.46 : x - Step 2: Convert to fraction form
824,795,546.68/1,138,209,852.12 = 448,452,129.46/x - Step 3: Cross multiply
824,795,546.68x = 1,138,209,852.12 × 448,452,129.46 - Step 4: Simplify right side
824,795,546.68x = 510,432,631,955,565,632 - Step 5: Solve for x
x = 510,432,631,955,565,632/824,795,546.68 - Step 6: Final answer
x = 618,859,587.70
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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.