Finding the Fourth Proportional to 313,984,931.80, 470,977,397.70 and 177,936,035.80
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Solution
The fourth proportional to 313,984,931.80, 470,977,397.70 and 177,936,035.80 is: 266,904,053.70
Step by Step Solution
- Step 1: Write the proportion equation
313,984,931.80 : 470,977,397.70 = 177,936,035.80 : x - Step 2: Convert to fraction form
313,984,931.80/470,977,397.70 = 177,936,035.80/x - Step 3: Cross multiply
313,984,931.80x = 470,977,397.70 × 177,936,035.80 - Step 4: Simplify right side
313,984,931.80x = 83,803,851,098,138,048 - Step 5: Solve for x
x = 83,803,851,098,138,048/313,984,931.80 - Step 6: Final answer
x = 266,904,053.70
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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.