Finding the Fourth Proportional to 409,312,122.93, 614,286,567.27 and 285,687,321.84
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Solution
The fourth proportional to 409,312,122.93, 614,286,567.27 and 285,687,321.84 is: 428,753,204.25
Step by Step Solution
- Step 1: Write the proportion equation
409,312,122.93 : 614,286,567.27 = 285,687,321.84 : x - Step 2: Convert to fraction form
409,312,122.93/614,286,567.27 = 285,687,321.84/x - Step 3: Cross multiply
409,312,122.93x = 614,286,567.27 × 285,687,321.84 - Step 4: Simplify right side
409,312,122.93x = 175,493,884,245,653,280 - Step 5: Solve for x
x = 175,493,884,245,653,280/409,312,122.93 - Step 6: Final answer
x = 428,753,204.25
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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.