Finding the Fourth Proportional to 180,166,445.70, 270,249,668.55 and 103,638,941.70
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Solution
The fourth proportional to 180,166,445.70, 270,249,668.55 and 103,638,941.70 is: 155,458,412.55
Step by Step Solution
- Step 1: Write the proportion equation
180,166,445.70 : 270,249,668.55 = 103,638,941.70 : x - Step 2: Convert to fraction form
180,166,445.70/270,249,668.55 = 103,638,941.70/x - Step 3: Cross multiply
180,166,445.70x = 270,249,668.55 × 103,638,941.70 - Step 4: Simplify right side
180,166,445.70x = 28,008,389,643,297,776 - Step 5: Solve for x
x = 28,008,389,643,297,776/180,166,445.70 - Step 6: Final answer
x = 155,458,412.55
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1.5x scale
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.