Finding the Fourth Proportional to 309,252,121,122.87, 463,878,719,773.79 and 97,032,539,912.31
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Solution
The fourth proportional to 309,252,121,122.87, 463,878,719,773.79 and 97,032,539,912.31 is: 145,548,978,702.20
Step by Step Solution
- Step 1: Write the proportion equation
309,252,121,122.87 : 463,878,719,773.79 = 97,032,539,912.31 : x - Step 2: Convert to fraction form
309,252,121,122.87/463,878,719,773.79 = 97,032,539,912.31/x - Step 3: Cross multiply
309,252,121,122.87x = 463,878,719,773.79 × 97,032,539,912.31 - Step 4: Simplify right side
309,252,121,122.87x = 45,011,330,390,921,542,893,568 - Step 5: Solve for x
x = 45,011,330,390,921,542,893,568/309,252,121,122.87 - Step 6: Final answer
x = 145,548,978,702.20
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.