Finding the Fourth Proportional to 1,015,464,698.64, 1,401,542,253.42 and 658,674,642.06
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Solution
The fourth proportional to 1,015,464,698.64, 1,401,542,253.42 and 658,674,642.06 is: 909,101,363.48
Step by Step Solution
- Step 1: Write the proportion equation
1,015,464,698.64 : 1,401,542,253.42 = 658,674,642.06 : x - Step 2: Convert to fraction form
1,015,464,698.64/1,401,542,253.42 = 658,674,642.06/x - Step 3: Cross multiply
1,015,464,698.64x = 1,401,542,253.42 × 658,674,642.06 - Step 4: Simplify right side
1,015,464,698.64x = 923,160,342,103,384,320 - Step 5: Solve for x
x = 923,160,342,103,384,320/1,015,464,698.64 - Step 6: Final answer
x = 909,101,363.48
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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.