Finding the Fourth Proportional to 1,235,413,820.24, 1,853,119,243.12 and 315,290,257.28
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Solution
The fourth proportional to 1,235,413,820.24, 1,853,119,243.12 and 315,290,257.28 is: 472,935,006.36
Step by Step Solution
- Step 1: Write the proportion equation
1,235,413,820.24 : 1,853,119,243.12 = 315,290,257.28 : x - Step 2: Convert to fraction form
1,235,413,820.24/1,853,119,243.12 = 315,290,257.28/x - Step 3: Cross multiply
1,235,413,820.24x = 1,853,119,243.12 × 315,290,257.28 - Step 4: Simplify right side
1,235,413,820.24x = 584,270,442,933,823,616 - Step 5: Solve for x
x = 584,270,442,933,823,616/1,235,413,820.24 - Step 6: Final answer
x = 472,935,006.36
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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.