Finding the Fourth Proportional to 1,570,031,916.71, 2,353,622,442.86 and 783,326,186.23
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Solution
The fourth proportional to 1,570,031,916.71, 2,353,622,442.86 and 783,326,186.23 is: 1,174,278,097.39
Step by Step Solution
- Step 1: Write the proportion equation
1,570,031,916.71 : 2,353,622,442.86 = 783,326,186.23 : x - Step 2: Convert to fraction form
1,570,031,916.71/2,353,622,442.86 = 783,326,186.23/x - Step 3: Cross multiply
1,570,031,916.71x = 2,353,622,442.86 × 783,326,186.23 - Step 4: Simplify right side
1,570,031,916.71x = 1,843,654,091,990,825,472 - Step 5: Solve for x
x = 1,843,654,091,990,825,472/1,570,031,916.71 - Step 6: Final answer
x = 1,174,278,097.39
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1.5x scale
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.