Finding the Fourth Proportional to 478,220,803,107.76, 659,947,692,843.60 and 261,447,464,727.28
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Solution
The fourth proportional to 478,220,803,107.76, 659,947,692,843.60 and 261,447,464,727.28 is: 360,799,133,005.72
Step by Step Solution
- Step 1: Write the proportion equation
478,220,803,107.76 : 659,947,692,843.60 = 261,447,464,727.28 : x - Step 2: Convert to fraction form
478,220,803,107.76/659,947,692,843.60 = 261,447,464,727.28/x - Step 3: Cross multiply
478,220,803,107.76x = 659,947,692,843.60 × 261,447,464,727.28 - Step 4: Simplify right side
478,220,803,107.76x = 172,541,651,146,576,922,411,008 - Step 5: Solve for x
x = 172,541,651,146,576,922,411,008/478,220,803,107.76 - Step 6: Final answer
x = 360,799,133,005.72
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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.