Finding the Fourth Proportional to 1,520,243,075.48, 2,097,957,101.13 and 876,486,273.50
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Solution
The fourth proportional to 1,520,243,075.48, 2,097,957,101.13 and 876,486,273.50 is: 1,209,563,543.61
Step by Step Solution
- Step 1: Write the proportion equation
1,520,243,075.48 : 2,097,957,101.13 = 876,486,273.50 : x - Step 2: Convert to fraction form
1,520,243,075.48/2,097,957,101.13 = 876,486,273.50/x - Step 3: Cross multiply
1,520,243,075.48x = 2,097,957,101.13 × 876,486,273.50 - Step 4: Simplify right side
1,520,243,075.48x = 1,838,830,601,521,806,592 - Step 5: Solve for x
x = 1,838,830,601,521,806,592/1,520,243,075.48 - Step 6: Final answer
x = 1,209,563,543.61
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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.