Finding the Fourth Proportional to 1,092,187,216.12, 1,639,446,671.84 and 470,709,149.75
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Solution
The fourth proportional to 1,092,187,216.12, 1,639,446,671.84 and 470,709,149.75 is: 706,566,179.84
Step by Step Solution
- Step 1: Write the proportion equation
1,092,187,216.12 : 1,639,446,671.84 = 470,709,149.75 : x - Step 2: Convert to fraction form
1,092,187,216.12/1,639,446,671.84 = 470,709,149.75/x - Step 3: Cross multiply
1,092,187,216.12x = 1,639,446,671.84 × 470,709,149.75 - Step 4: Simplify right side
1,092,187,216.12x = 771,702,548,967,549,056 - Step 5: Solve for x
x = 771,702,548,967,549,056/1,092,187,216.12 - Step 6: Final answer
x = 706,566,179.84
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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.