Finding the Fourth Proportional to 523,298,805.08, 722,119,807.35 and 288,336,316.82
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Solution
The fourth proportional to 523,298,805.08, 722,119,807.35 and 288,336,316.82 is: 397,886,185.73
Step by Step Solution
- Step 1: Write the proportion equation
523,298,805.08 : 722,119,807.35 = 288,336,316.82 : x - Step 2: Convert to fraction form
523,298,805.08/722,119,807.35 = 288,336,316.82/x - Step 3: Cross multiply
523,298,805.08x = 722,119,807.35 × 288,336,316.82 - Step 4: Simplify right side
523,298,805.08x = 208,213,365,550,456,384 - Step 5: Solve for x
x = 208,213,365,550,456,384/523,298,805.08 - Step 6: Final answer
x = 397,886,185.73
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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.