Finding the Fourth Proportional to 401,182,206,301, 602,038,087,159.74 and 212,660,490,701.80
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Solution
The fourth proportional to 401,182,206,301, 602,038,087,159.74 and 212,660,490,701.80 is: 319,131,090,625.95
Step by Step Solution
- Step 1: Write the proportion equation
401,182,206,301 : 602,038,087,159.74 = 212,660,490,701.80 : x - Step 2: Convert to fraction form
401,182,206,301/602,038,087,159.74 = 212,660,490,701.80/x - Step 3: Cross multiply
401,182,206,301x = 602,038,087,159.74 × 212,660,490,701.80 - Step 4: Simplify right side
401,182,206,301x = 128,029,715,036,563,329,515,520 - Step 5: Solve for x
x = 128,029,715,036,563,329,515,520/401,182,206,301 - Step 6: Final answer
x = 319,131,090,625.95
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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.