Finding the Fourth Proportional to 402,395,791,503.18, 555,307,918,675.88 and 219,496,878,955.43
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Solution
The fourth proportional to 402,395,791,503.18, 555,307,918,675.88 and 219,496,878,955.43 is: 302,906,634,667.50
Step by Step Solution
- Step 1: Write the proportion equation
402,395,791,503.18 : 555,307,918,675.88 = 219,496,878,955.43 : x - Step 2: Convert to fraction form
402,395,791,503.18/555,307,918,675.88 = 219,496,878,955.43/x - Step 3: Cross multiply
402,395,791,503.18x = 555,307,918,675.88 × 219,496,878,955.43 - Step 4: Simplify right side
402,395,791,503.18x = 121,888,355,008,591,398,174,720 - Step 5: Solve for x
x = 121,888,355,008,591,398,174,720/402,395,791,503.18 - Step 6: Final answer
x = 302,906,634,667.50
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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.