Finding the Fourth Proportional to 409,820,640.28, 565,556,970.74 and 224,181,657.79
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Solution
The fourth proportional to 409,820,640.28, 565,556,970.74 and 224,181,657.79 is: 309,373,142.33
Step by Step Solution
- Step 1: Write the proportion equation
409,820,640.28 : 565,556,970.74 = 224,181,657.79 : x - Step 2: Convert to fraction form
409,820,640.28/565,556,970.74 = 224,181,657.79/x - Step 3: Cross multiply
409,820,640.28x = 565,556,970.74 × 224,181,657.79 - Step 4: Simplify right side
409,820,640.28x = 126,787,499,272,648,928 - Step 5: Solve for x
x = 126,787,499,272,648,928/409,820,640.28 - Step 6: Final answer
x = 309,373,142.33
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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.