Finding the Fourth Proportional to 1,438,414,445.70, 1,985,017,166.37 and 778,364,723.70
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Solution
The fourth proportional to 1,438,414,445.70, 1,985,017,166.37 and 778,364,723.70 is: 1,074,146,149.51
Step by Step Solution
- Step 1: Write the proportion equation
1,438,414,445.70 : 1,985,017,166.37 = 778,364,723.70 : x - Step 2: Convert to fraction form
1,438,414,445.70/1,985,017,166.37 = 778,364,723.70/x - Step 3: Cross multiply
1,438,414,445.70x = 1,985,017,166.37 × 778,364,723.70 - Step 4: Simplify right side
1,438,414,445.70x = 1,545,067,338,241,341,952 - Step 5: Solve for x
x = 1,545,067,338,241,341,952/1,438,414,445.70 - Step 6: Final answer
x = 1,074,146,149.51
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1.5x scale
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.