Finding the Fourth Proportional to 343,722,931,413.47, 474,316,272,919.84 and 189,389,974,296.88
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Solution
The fourth proportional to 343,722,931,413.47, 474,316,272,919.84 and 189,389,974,296.88 is: 261,346,388,404.97
Step by Step Solution
- Step 1: Write the proportion equation
343,722,931,413.47 : 474,316,272,919.84 = 189,389,974,296.88 : x - Step 2: Convert to fraction form
343,722,931,413.47/474,316,272,919.84 = 189,389,974,296.88/x - Step 3: Cross multiply
343,722,931,413.47x = 474,316,272,919.84 × 189,389,974,296.88 - Step 4: Simplify right side
343,722,931,413.47x = 89,830,746,736,880,420,651,008 - Step 5: Solve for x
x = 89,830,746,736,880,420,651,008/343,722,931,413.47 - Step 6: Final answer
x = 261,346,388,404.97
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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.