Finding the Fourth Proportional to 475,048,876.20, 712,573,314.30 and 409,291,909.80
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Solution
The fourth proportional to 475,048,876.20, 712,573,314.30 and 409,291,909.80 is: 613,937,864.70
Step by Step Solution
- Step 1: Write the proportion equation
475,048,876.20 : 712,573,314.30 = 409,291,909.80 : x - Step 2: Convert to fraction form
475,048,876.20/712,573,314.30 = 409,291,909.80/x - Step 3: Cross multiply
475,048,876.20x = 712,573,314.30 × 409,291,909.80 - Step 4: Simplify right side
475,048,876.20x = 291,650,492,682,362,624 - Step 5: Solve for x
x = 291,650,492,682,362,624/475,048,876.20 - Step 6: Final answer
x = 613,937,864.70
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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.