Finding the Fourth Proportional to 306,465,823.79, 422,931,768.90 and 167,245,553.42
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Solution
The fourth proportional to 306,465,823.79, 422,931,768.90 and 167,245,553.42 is: 230,803,738.16
Step by Step Solution
- Step 1: Write the proportion equation
306,465,823.79 : 422,931,768.90 = 167,245,553.42 : x - Step 2: Convert to fraction form
306,465,823.79/422,931,768.90 = 167,245,553.42/x - Step 3: Cross multiply
306,465,823.79x = 422,931,768.90 × 167,245,553.42 - Step 4: Simplify right side
306,465,823.79x = 70,733,457,748,580,032 - Step 5: Solve for x
x = 70,733,457,748,580,032/306,465,823.79 - Step 6: Final answer
x = 230,803,738.16
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1.5x scale
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.