Finding the Fourth Proportional to 405,112,715.80, 559,056,115.08 and 219,473,731.49
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Solution
The fourth proportional to 405,112,715.80, 559,056,115.08 and 219,473,731.49 is: 302,874,056.78
Step by Step Solution
- Step 1: Write the proportion equation
405,112,715.80 : 559,056,115.08 = 219,473,731.49 : x - Step 2: Convert to fraction form
405,112,715.80/559,056,115.08 = 219,473,731.49/x - Step 3: Cross multiply
405,112,715.80x = 559,056,115.08 × 219,473,731.49 - Step 4: Simplify right side
405,112,715.80x = 122,698,131,688,910,480 - Step 5: Solve for x
x = 122,698,131,688,910,480/405,112,715.80 - Step 6: Final answer
x = 302,874,056.78
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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.