Finding the Fourth Proportional to 747,198,494.49, 1,119,825,573.76 and 304,024,702.41
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Solution
The fourth proportional to 747,198,494.49, 1,119,825,573.76 and 304,024,702.41 is: 455,641,491.95
Step by Step Solution
- Step 1: Write the proportion equation
747,198,494.49 : 1,119,825,573.76 = 304,024,702.41 : x - Step 2: Convert to fraction form
747,198,494.49/1,119,825,573.76 = 304,024,702.41/x - Step 3: Cross multiply
747,198,494.49x = 1,119,825,573.76 × 304,024,702.41 - Step 4: Simplify right side
747,198,494.49x = 340,454,636,813,886,784 - Step 5: Solve for x
x = 340,454,636,813,886,784/747,198,494.49 - Step 6: Final answer
x = 455,641,491.95
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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.