Finding the Fourth Proportional to 715,432,511.80, 1,073,148,767.70 and 409,322,495.80
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Solution
The fourth proportional to 715,432,511.80, 1,073,148,767.70 and 409,322,495.80 is: 613,983,743.70
Step by Step Solution
- Step 1: Write the proportion equation
715,432,511.80 : 1,073,148,767.70 = 409,322,495.80 : x - Step 2: Convert to fraction form
715,432,511.80/1,073,148,767.70 = 409,322,495.80/x - Step 3: Cross multiply
715,432,511.80x = 1,073,148,767.70 × 409,322,495.80 - Step 4: Simplify right side
715,432,511.80x = 439,263,931,959,658,432 - Step 5: Solve for x
x = 439,263,931,959,658,432/715,432,511.80 - Step 6: Final answer
x = 613,983,743.70
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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.