Finding the Fourth Proportional to 685,923,138,490.50, 1,029,001,925,203.10 and 282,786,233,642.82
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Solution
The fourth proportional to 685,923,138,490.50, 1,029,001,925,203.10 and 282,786,233,642.82 is: 424,227,675,829.35
Step by Step Solution
- Step 1: Write the proportion equation
685,923,138,490.50 : 1,029,001,925,203.10 = 282,786,233,642.82 : x - Step 2: Convert to fraction form
685,923,138,490.50/1,029,001,925,203.10 = 282,786,233,642.82/x - Step 3: Cross multiply
685,923,138,490.50x = 1,029,001,925,203.10 × 282,786,233,642.82 - Step 4: Simplify right side
685,923,138,490.50x = 290,987,578,839,395,423,223,808 - Step 5: Solve for x
x = 290,987,578,839,395,423,223,808/685,923,138,490.50 - Step 6: Final answer
x = 424,227,675,829.35
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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.