Finding the Fourth Proportional to 509,398,275.11, 702,965,393.90 and 286,380,950.84
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Solution
The fourth proportional to 509,398,275.11, 702,965,393.90 and 286,380,950.84 is: 395,203,336.46
Step by Step Solution
- Step 1: Write the proportion equation
509,398,275.11 : 702,965,393.90 = 286,380,950.84 : x - Step 2: Convert to fraction form
509,398,275.11/702,965,393.90 = 286,380,950.84/x - Step 3: Cross multiply
509,398,275.11x = 702,965,393.90 × 286,380,950.84 - Step 4: Simplify right side
509,398,275.11x = 201,315,897,907,750,368 - Step 5: Solve for x
x = 201,315,897,907,750,368/509,398,275.11 - Step 6: Final answer
x = 395,203,336.46
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.