Finding the Fourth Proportional to 388,509,027,201.40, 536,106,477,761.70 and 214,890,429,911.98
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Solution
The fourth proportional to 388,509,027,201.40, 536,106,477,761.70 and 214,890,429,911.98 is: 296,528,892,300.59
Step by Step Solution
- Step 1: Write the proportion equation
388,509,027,201.40 : 536,106,477,761.70 = 214,890,429,911.98 : x - Step 2: Convert to fraction form
388,509,027,201.40/536,106,477,761.70 = 214,890,429,911.98/x - Step 3: Cross multiply
388,509,027,201.40x = 536,106,477,761.70 × 214,890,429,911.98 - Step 4: Simplify right side
388,509,027,201.40x = 115,204,151,484,809,069,199,360 - Step 5: Solve for x
x = 115,204,151,484,809,069,199,360/388,509,027,201.40 - Step 6: Final answer
x = 296,528,892,300.59
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.