Finding the Fourth Proportional to 310,065,315,592.98, 427,969,748,675.97 and 201,947,831,898.06
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Solution
The fourth proportional to 310,065,315,592.98, 427,969,748,675.97 and 201,947,831,898.06 is: 278,739,860,657.37
Step by Step Solution
- Step 1: Write the proportion equation
310,065,315,592.98 : 427,969,748,675.97 = 201,947,831,898.06 : x - Step 2: Convert to fraction form
310,065,315,592.98/427,969,748,675.97 = 201,947,831,898.06/x - Step 3: Cross multiply
310,065,315,592.98x = 427,969,748,675.97 × 201,947,831,898.06 - Step 4: Simplify right side
310,065,315,592.98x = 86,427,562,863,069,763,731,456 - Step 5: Solve for x
x = 86,427,562,863,069,763,731,456/310,065,315,592.98 - Step 6: Final answer
x = 278,739,860,657.37
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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.