Finding the Fourth Proportional to 470,338,178.03, 705,461,678.92 and 142,816,569.99
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Solution
The fourth proportional to 470,338,178.03, 705,461,678.92 and 142,816,569.99 is: 214,211,012.31
Step by Step Solution
- Step 1: Write the proportion equation
470,338,178.03 : 705,461,678.92 = 142,816,569.99 : x - Step 2: Convert to fraction form
470,338,178.03/705,461,678.92 = 142,816,569.99/x - Step 3: Cross multiply
470,338,178.03x = 705,461,678.92 × 142,816,569.99 - Step 4: Simplify right side
470,338,178.03x = 100,751,617,242,741,088 - Step 5: Solve for x
x = 100,751,617,242,741,088/470,338,178.03 - Step 6: Final answer
x = 214,211,012.31
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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.