Finding the Fourth Proportional to 930,362,400.48, 1,283,908,722.06 and 512,689,632.12
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Solution
The fourth proportional to 930,362,400.48, 1,283,908,722.06 and 512,689,632.12 is: 707,516,436.66
Step by Step Solution
- Step 1: Write the proportion equation
930,362,400.48 : 1,283,908,722.06 = 512,689,632.12 : x - Step 2: Convert to fraction form
930,362,400.48/1,283,908,722.06 = 512,689,632.12/x - Step 3: Cross multiply
930,362,400.48x = 1,283,908,722.06 × 512,689,632.12 - Step 4: Simplify right side
930,362,400.48x = 658,246,690,388,600,704 - Step 5: Solve for x
x = 658,246,690,388,600,704/930,362,400.48 - Step 6: Final answer
x = 707,516,436.66
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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.