Finding the Fourth Proportional to 1,397,130,090.90, 2,095,695,136.35 and 414,708,258.30
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Solution
The fourth proportional to 1,397,130,090.90, 2,095,695,136.35 and 414,708,258.30 is: 622,062,387.45
Step by Step Solution
- Step 1: Write the proportion equation
1,397,130,090.90 : 2,095,695,136.35 = 414,708,258.30 : x - Step 2: Convert to fraction form
1,397,130,090.90/2,095,695,136.35 = 414,708,258.30/x - Step 3: Cross multiply
1,397,130,090.90x = 2,095,695,136.35 × 414,708,258.30 - Step 4: Simplify right side
1,397,130,090.90x = 869,102,079,923,489,536 - Step 5: Solve for x
x = 869,102,079,923,489,536/1,397,130,090.90 - Step 6: Final answer
x = 622,062,387.45
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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.