Finding the Fourth Proportional to 409,915,211.58, 614,378,808.99 and 188,280,711.18
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Solution
The fourth proportional to 409,915,211.58, 614,378,808.99 and 188,280,711.18 is: 282,194,160.70
Step by Step Solution
- Step 1: Write the proportion equation
409,915,211.58 : 614,378,808.99 = 188,280,711.18 : x - Step 2: Convert to fraction form
409,915,211.58/614,378,808.99 = 188,280,711.18/x - Step 3: Cross multiply
409,915,211.58x = 614,378,808.99 × 188,280,711.18 - Step 4: Simplify right side
409,915,211.58x = 115,675,679,090,558,576 - Step 5: Solve for x
x = 115,675,679,090,558,576/409,915,211.58 - Step 6: Final answer
x = 282,194,160.70
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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.