Finding the Fourth Proportional to 213,163,206.80, 319,319,657.40 and 148,539,981.20
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Solution
The fourth proportional to 213,163,206.80, 319,319,657.40 and 148,539,981.20 is: 222,513,709.65
Step by Step Solution
- Step 1: Write the proportion equation
213,163,206.80 : 319,319,657.40 = 148,539,981.20 : x - Step 2: Convert to fraction form
213,163,206.80/319,319,657.40 = 148,539,981.20/x - Step 3: Cross multiply
213,163,206.80x = 319,319,657.40 × 148,539,981.20 - Step 4: Simplify right side
213,163,206.80x = 47,431,735,906,986,432 - Step 5: Solve for x
x = 47,431,735,906,986,432/213,163,206.80 - Step 6: Final answer
x = 222,513,709.65
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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.