Finding the Fourth Proportional to 680,804,556,875.70, 1,021,206,835,313.50 and 309,300,371,531.70
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Solution
The fourth proportional to 680,804,556,875.70, 1,021,206,835,313.50 and 309,300,371,531.70 is: 463,950,557,297.53
Step by Step Solution
- Step 1: Write the proportion equation
680,804,556,875.70 : 1,021,206,835,313.50 = 309,300,371,531.70 : x - Step 2: Convert to fraction form
680,804,556,875.70/1,021,206,835,313.50 = 309,300,371,531.70/x - Step 3: Cross multiply
680,804,556,875.70x = 1,021,206,835,313.50 × 309,300,371,531.70 - Step 4: Simplify right side
680,804,556,875.70x = 315,859,653,573,177,113,575,424 - Step 5: Solve for x
x = 315,859,653,573,177,113,575,424/680,804,556,875.70 - Step 6: Final answer
x = 463,950,557,297.53
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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.