Finding the Fourth Proportional to 393,462,492.09, 542,980,864.14 and 214,847,620.74
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Solution
The fourth proportional to 393,462,492.09, 542,980,864.14 and 214,847,620.74 is: 296,491,150.02
Step by Step Solution
- Step 1: Write the proportion equation
393,462,492.09 : 542,980,864.14 = 214,847,620.74 : x - Step 2: Convert to fraction form
393,462,492.09/542,980,864.14 = 214,847,620.74/x - Step 3: Cross multiply
393,462,492.09x = 542,980,864.14 × 214,847,620.74 - Step 4: Simplify right side
393,462,492.09x = 116,658,146,767,828,192 - Step 5: Solve for x
x = 116,658,146,767,828,192/393,462,492.09 - Step 6: Final answer
x = 296,491,150.02
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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.