Finding the Fourth Proportional to 420,505,172,413.68, 580,289,573,610.72 and 237,598,346,994.96
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Solution
The fourth proportional to 420,505,172,413.68, 580,289,573,610.72 and 237,598,346,994.96 is: 327,881,444,779.66
Step by Step Solution
- Step 1: Write the proportion equation
420,505,172,413.68 : 580,289,573,610.72 = 237,598,346,994.96 : x - Step 2: Convert to fraction form
420,505,172,413.68/580,289,573,610.72 = 237,598,346,994.96/x - Step 3: Cross multiply
420,505,172,413.68x = 580,289,573,610.72 × 237,598,346,994.96 - Step 4: Simplify right side
420,505,172,413.68x = 137,875,843,468,317,226,434,560 - Step 5: Solve for x
x = 137,875,843,468,317,226,434,560/420,505,172,413.68 - Step 6: Final answer
x = 327,881,444,779.66
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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.