Finding the Fourth Proportional to 1,492,464,286,138.30, 2,238,920,272,624.30 and 524,202,065,394.54
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Solution
The fourth proportional to 1,492,464,286,138.30, 2,238,920,272,624.30 and 524,202,065,394.54 is: 786,381,719,190.17
Step by Step Solution
- Step 1: Write the proportion equation
1,492,464,286,138.30 : 2,238,920,272,624.30 = 524,202,065,394.54 : x - Step 2: Convert to fraction form
1,492,464,286,138.30/2,238,920,272,624.30 = 524,202,065,394.54/x - Step 3: Cross multiply
1,492,464,286,138.30x = 2,238,920,272,624.30 × 524,202,065,394.54 - Step 4: Simplify right side
1,492,464,286,138.30x = 1,173,646,631,163,364,470,947,840 - Step 5: Solve for x
x = 1,173,646,631,163,364,470,947,840/1,492,464,286,138.30 - Step 6: Final answer
x = 786,381,719,190.17
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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.