Finding the Fourth Proportional to 1,570,031,917.71, 2,353,622,444.36 and 783,326,187.23
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Solution
The fourth proportional to 1,570,031,917.71, 2,353,622,444.36 and 783,326,187.23 is: 1,174,278,098.89
Step by Step Solution
- Step 1: Write the proportion equation
1,570,031,917.71 : 2,353,622,444.36 = 783,326,187.23 : x - Step 2: Convert to fraction form
1,570,031,917.71/2,353,622,444.36 = 783,326,187.23/x - Step 3: Cross multiply
1,570,031,917.71x = 2,353,622,444.36 × 783,326,187.23 - Step 4: Simplify right side
1,570,031,917.71x = 1,843,654,095,519,471,872 - Step 5: Solve for x
x = 1,843,654,095,519,471,872/1,570,031,917.71 - Step 6: Final answer
x = 1,174,278,098.89
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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.