Finding the Fourth Proportional to 679,774,687,053.75, 938,512,506,028.56 and 432,716,416,103.33
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Solution
The fourth proportional to 679,774,687,053.75, 938,512,506,028.56 and 432,716,416,103.33 is: 597,418,197,251.47
Step by Step Solution
- Step 1: Write the proportion equation
679,774,687,053.75 : 938,512,506,028.56 = 432,716,416,103.33 : x - Step 2: Convert to fraction form
679,774,687,053.75/938,512,506,028.56 = 432,716,416,103.33/x - Step 3: Cross multiply
679,774,687,053.75x = 938,512,506,028.56 × 432,716,416,103.33 - Step 4: Simplify right side
679,774,687,053.75x = 406,109,768,076,833,427,816,448 - Step 5: Solve for x
x = 406,109,768,076,833,427,816,448/679,774,687,053.75 - Step 6: Final answer
x = 597,418,197,251.47
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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.