Finding the Fourth Proportional to 397,527,250.80, 596,563,253.49 and 138,742,470.98
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Solution
The fourth proportional to 397,527,250.80, 596,563,253.49 and 138,742,470.98 is: 208,208,769.88
Step by Step Solution
- Step 1: Write the proportion equation
397,527,250.80 : 596,563,253.49 = 138,742,470.98 : x - Step 2: Convert to fraction form
397,527,250.80/596,563,253.49 = 138,742,470.98/x - Step 3: Cross multiply
397,527,250.80x = 596,563,253.49 × 138,742,470.98 - Step 4: Simplify right side
397,527,250.80x = 82,768,659,884,064,160 - Step 5: Solve for x
x = 82,768,659,884,064,160/397,527,250.80 - Step 6: Final answer
x = 208,208,769.88
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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.