Finding the Fourth Proportional to 408,341,345,251.59, 563,765,369,278.64 and 259,938,972,413.23
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Solution
The fourth proportional to 408,341,345,251.59, 563,765,369,278.64 and 259,938,972,413.23 is: 358,877,670,548.31
Step by Step Solution
- Step 1: Write the proportion equation
408,341,345,251.59 : 563,765,369,278.64 = 259,938,972,413.23 : x - Step 2: Convert to fraction form
408,341,345,251.59/563,765,369,278.64 = 259,938,972,413.23/x - Step 3: Cross multiply
408,341,345,251.59x = 563,765,369,278.64 × 259,938,972,413.23 - Step 4: Simplify right side
408,341,345,251.59x = 146,544,590,772,454,830,374,912 - Step 5: Solve for x
x = 146,544,590,772,454,830,374,912/408,341,345,251.59 - Step 6: Final answer
x = 358,877,670,548.31
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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.