Finding the Fourth Proportional to 533,354,319,034.17, 736,029,504,994.14 and 289,483,838,170.53
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Solution
The fourth proportional to 533,354,319,034.17, 736,029,504,994.14 and 289,483,838,170.53 is: 399,487,992,331.81
Step by Step Solution
- Step 1: Write the proportion equation
533,354,319,034.17 : 736,029,504,994.14 = 289,483,838,170.53 : x - Step 2: Convert to fraction form
533,354,319,034.17/736,029,504,994.14 = 289,483,838,170.53/x - Step 3: Cross multiply
533,354,319,034.17x = 736,029,504,994.14 × 289,483,838,170.53 - Step 4: Simplify right side
533,354,319,034.17x = 213,068,646,112,458,944,020,480 - Step 5: Solve for x
x = 213,068,646,112,458,944,020,480/533,354,319,034.17 - Step 6: Final answer
x = 399,487,992,331.81
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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.