Finding the Fourth Proportional to 822,021,448.80, 1,133,292,207.24 and 653,036,381.40
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Solution
The fourth proportional to 822,021,448.80, 1,133,292,207.24 and 653,036,381.40 is: 900,318,407.95
Step by Step Solution
- Step 1: Write the proportion equation
822,021,448.80 : 1,133,292,207.24 = 653,036,381.40 : x - Step 2: Convert to fraction form
822,021,448.80/1,133,292,207.24 = 653,036,381.40/x - Step 3: Cross multiply
822,021,448.80x = 1,133,292,207.24 × 653,036,381.40 - Step 4: Simplify right side
822,021,448.80x = 740,081,042,084,828,416 - Step 5: Solve for x
x = 740,081,042,084,828,416/822,021,448.80 - Step 6: Final answer
x = 900,318,407.95
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1.5x scale
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.