Finding the Fourth Proportional to 470,266,668.14, 705,317,517.68 and 179,151,259.95
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Solution
The fourth proportional to 470,266,668.14, 705,317,517.68 and 179,151,259.95 is: 268,695,466.89
Step by Step Solution
- Step 1: Write the proportion equation
470,266,668.14 : 705,317,517.68 = 179,151,259.95 : x - Step 2: Convert to fraction form
470,266,668.14/705,317,517.68 = 179,151,259.95/x - Step 3: Cross multiply
470,266,668.14x = 705,317,517.68 × 179,151,259.95 - Step 4: Simplify right side
470,266,668.14x = 126,358,521,956,282,624 - Step 5: Solve for x
x = 126,358,521,956,282,624/470,266,668.14 - Step 6: Final answer
x = 268,695,466.89
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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.