Finding the Fourth Proportional to 470,783,095.98, 649,770,617.44 and 311,732,686.14
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Solution
The fourth proportional to 470,783,095.98, 649,770,617.44 and 311,732,686.14 is: 430,250,664.65
Step by Step Solution
- Step 1: Write the proportion equation
470,783,095.98 : 649,770,617.44 = 311,732,686.14 : x - Step 2: Convert to fraction form
470,783,095.98/649,770,617.44 = 311,732,686.14/x - Step 3: Cross multiply
470,783,095.98x = 649,770,617.44 × 311,732,686.14 - Step 4: Simplify right side
470,783,095.98x = 202,554,739,949,417,536 - Step 5: Solve for x
x = 202,554,739,949,417,536/470,783,095.98 - Step 6: Final answer
x = 430,250,664.65
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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.