Finding the Fourth Proportional to 1,292,564,170.14, 1,939,118,638.80 and 419,097,427.98
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Solution
The fourth proportional to 1,292,564,170.14, 1,939,118,638.80 and 419,097,427.98 is: 628,734,458.87
Step by Step Solution
- Step 1: Write the proportion equation
1,292,564,170.14 : 1,939,118,638.80 = 419,097,427.98 : x - Step 2: Convert to fraction form
1,292,564,170.14/1,939,118,638.80 = 419,097,427.98/x - Step 3: Cross multiply
1,292,564,170.14x = 1,939,118,638.80 × 419,097,427.98 - Step 4: Simplify right side
1,292,564,170.14x = 812,679,634,069,158,656 - Step 5: Solve for x
x = 812,679,634,069,158,656/1,292,564,170.14 - Step 6: Final answer
x = 628,734,458.87
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.