Finding the Fourth Proportional to 299,575,830.58, 413,378,841.63 and 165,595,648.12
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Solution
The fourth proportional to 299,575,830.58, 413,378,841.63 and 165,595,648.12 is: 228,502,202.82
Step by Step Solution
- Step 1: Write the proportion equation
299,575,830.58 : 413,378,841.63 = 165,595,648.12 : x - Step 2: Convert to fraction form
299,575,830.58/413,378,841.63 = 165,595,648.12/x - Step 3: Cross multiply
299,575,830.58x = 413,378,841.63 × 165,595,648.12 - Step 4: Simplify right side
299,575,830.58x = 68,453,737,198,814,688 - Step 5: Solve for x
x = 68,453,737,198,814,688/299,575,830.58 - Step 6: Final answer
x = 228,502,202.82
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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.