Finding the Fourth Proportional to 927,148,032,153.80, 1,390,722,048,230.60 and 778,378,564,377.80
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Solution
The fourth proportional to 927,148,032,153.80, 1,390,722,048,230.60 and 778,378,564,377.80 is: 1,167,567,846,566.62
Step by Step Solution
- Step 1: Write the proportion equation
927,148,032,153.80 : 1,390,722,048,230.60 = 778,378,564,377.80 : x - Step 2: Convert to fraction form
927,148,032,153.80/1,390,722,048,230.60 = 778,378,564,377.80/x - Step 3: Cross multiply
927,148,032,153.80x = 1,390,722,048,230.60 × 778,378,564,377.80 - Step 4: Simplify right side
927,148,032,153.80x = 1,082,508,231,350,288,107,175,936 - Step 5: Solve for x
x = 1,082,508,231,350,288,107,175,936/927,148,032,153.80 - Step 6: Final answer
x = 1,167,567,846,566.62
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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.