Finding the Fourth Proportional to 1,164,749,456.42, 1,607,393,914.24 and 688,847,777.62
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Solution
The fourth proportional to 1,164,749,456.42, 1,607,393,914.24 and 688,847,777.62 is: 950,633,391.14
Step by Step Solution
- Step 1: Write the proportion equation
1,164,749,456.42 : 1,607,393,914.24 = 688,847,777.62 : x - Step 2: Convert to fraction form
1,164,749,456.42/1,607,393,914.24 = 688,847,777.62/x - Step 3: Cross multiply
1,164,749,456.42x = 1,607,393,914.24 × 688,847,777.62 - Step 4: Simplify right side
1,164,749,456.42x = 1,107,249,725,584,136,832 - Step 5: Solve for x
x = 1,107,249,725,584,136,832/1,164,749,456.42 - Step 6: Final answer
x = 950,633,391.14
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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.