Finding the Fourth Proportional to 509,398,276.11, 702,965,395.27 and 286,380,951.84
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Solution
The fourth proportional to 509,398,276.11, 702,965,395.27 and 286,380,951.84 is: 395,203,337.84
Step by Step Solution
- Step 1: Write the proportion equation
509,398,276.11 : 702,965,395.27 = 286,380,951.84 : x - Step 2: Convert to fraction form
509,398,276.11/702,965,395.27 = 286,380,951.84/x - Step 3: Cross multiply
509,398,276.11x = 702,965,395.27 × 286,380,951.84 - Step 4: Simplify right side
509,398,276.11x = 201,315,899,008,004,416 - Step 5: Solve for x
x = 201,315,899,008,004,416/509,398,276.11 - Step 6: Final answer
x = 395,203,337.84
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.