Finding the Fourth Proportional to 470,338,160.05, 705,461,652.21 and 142,816,552.11
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Solution
The fourth proportional to 470,338,160.05, 705,461,652.21 and 142,816,552.11 is: 214,210,985.57
Step by Step Solution
- Step 1: Write the proportion equation
470,338,160.05 : 705,461,652.21 = 142,816,552.11 : x - Step 2: Convert to fraction form
470,338,160.05/705,461,652.21 = 142,816,552.11/x - Step 3: Cross multiply
470,338,160.05x = 705,461,652.21 × 142,816,552.11 - Step 4: Simplify right side
470,338,160.05x = 100,751,600,814,991,728 - Step 5: Solve for x
x = 100,751,600,814,991,728/470,338,160.05 - Step 6: Final answer
x = 214,210,985.57
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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.