Finding the Fourth Proportional to 210,226,214.16, 288,005,094.86 and 202,366,413.18
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Solution
The fourth proportional to 210,226,214.16, 288,005,094.86 and 202,366,413.18 is: 277,237,347.66
Step by Step Solution
- Step 1: Write the proportion equation
210,226,214.16 : 288,005,094.86 = 202,366,413.18 : x - Step 2: Convert to fraction form
210,226,214.16/288,005,094.86 = 202,366,413.18/x - Step 3: Cross multiply
210,226,214.16x = 288,005,094.86 × 202,366,413.18 - Step 4: Simplify right side
210,226,214.16x = 58,282,558,023,372,032 - Step 5: Solve for x
x = 58,282,558,023,372,032/210,226,214.16 - Step 6: Final answer
x = 277,237,347.66
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Why These Related Problems?
These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.