Finding the Fourth Proportional to 300,909,688,400.48, 415,242,837,176.09 and 163,733,053,340.84
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Solution
The fourth proportional to 300,909,688,400.48, 415,242,837,176.09 and 163,733,053,340.84 is: 225,944,794,167.84
Step by Step Solution
- Step 1: Write the proportion equation
300,909,688,400.48 : 415,242,837,176.09 = 163,733,053,340.84 : x - Step 2: Convert to fraction form
300,909,688,400.48/415,242,837,176.09 = 163,733,053,340.84/x - Step 3: Cross multiply
300,909,688,400.48x = 415,242,837,176.09 × 163,733,053,340.84 - Step 4: Simplify right side
300,909,688,400.48x = 67,988,977,608,754,489,982,976 - Step 5: Solve for x
x = 67,988,977,608,754,489,982,976/300,909,688,400.48 - Step 6: Final answer
x = 225,944,794,167.84
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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.