Finding the Fourth Proportional to 390,024,115.21, 538,267,329.70 and 213,846,161.24
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Solution
The fourth proportional to 390,024,115.21, 538,267,329.70 and 213,846,161.24 is: 295,126,372.16
Step by Step Solution
- Step 1: Write the proportion equation
390,024,115.21 : 538,267,329.70 = 213,846,161.24 : x - Step 2: Convert to fraction form
390,024,115.21/538,267,329.70 = 213,846,161.24/x - Step 3: Cross multiply
390,024,115.21x = 538,267,329.70 × 213,846,161.24 - Step 4: Simplify right side
390,024,115.21x = 115,106,402,177,250,464 - Step 5: Solve for x
x = 115,106,402,177,250,464/390,024,115.21 - Step 6: Final answer
x = 295,126,372.16
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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.