Finding the Fourth Proportional to 1,411,319,521.74, 1,947,622,554.70 and 784,774,497.58
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Solution
The fourth proportional to 1,411,319,521.74, 1,947,622,554.70 and 784,774,497.58 is: 1,082,989,704.53
Step by Step Solution
- Step 1: Write the proportion equation
1,411,319,521.74 : 1,947,622,554.70 = 784,774,497.58 : x - Step 2: Convert to fraction form
1,411,319,521.74/1,947,622,554.70 = 784,774,497.58/x - Step 3: Cross multiply
1,411,319,521.74x = 1,947,622,554.70 × 784,774,497.58 - Step 4: Simplify right side
1,411,319,521.74x = 1,528,444,511,840,168,704 - Step 5: Solve for x
x = 1,528,444,511,840,168,704/1,411,319,521.74 - Step 6: Final answer
x = 1,082,989,704.53
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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.