Finding the Fourth Proportional to 1,157,130,146.05, 1,596,812,440.59 and 680,851,364.03
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Solution
The fourth proportional to 1,157,130,146.05, 1,596,812,440.59 and 680,851,364.03 is: 939,558,900.95
Step by Step Solution
- Step 1: Write the proportion equation
1,157,130,146.05 : 1,596,812,440.59 = 680,851,364.03 : x - Step 2: Convert to fraction form
1,157,130,146.05/1,596,812,440.59 = 680,851,364.03/x - Step 3: Cross multiply
1,157,130,146.05x = 1,596,812,440.59 × 680,851,364.03 - Step 4: Simplify right side
1,157,130,146.05x = 1,087,191,928,275,774,720 - Step 5: Solve for x
x = 1,087,191,928,275,774,720/1,157,130,146.05 - Step 6: Final answer
x = 939,558,900.95
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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.