Finding the Fourth Proportional to 921,244,889,638.40, 1,382,055,804,644.70 and 316,791,594,062.90
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Solution
The fourth proportional to 921,244,889,638.40, 1,382,055,804,644.70 and 316,791,594,062.90 is: 475,252,200,974.63
Step by Step Solution
- Step 1: Write the proportion equation
921,244,889,638.40 : 1,382,055,804,644.70 = 316,791,594,062.90 : x - Step 2: Convert to fraction form
921,244,889,638.40/1,382,055,804,644.70 = 316,791,594,062.90/x - Step 3: Cross multiply
921,244,889,638.40x = 1,382,055,804,644.70 × 316,791,594,062.90 - Step 4: Simplify right side
921,244,889,638.40x = 437,823,661,437,278,436,196,352 - Step 5: Solve for x
x = 437,823,661,437,278,436,196,352/921,244,889,638.40 - Step 6: Final answer
x = 475,252,200,974.63
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.