Finding the Fourth Proportional to 1,537,466,466.74, 2,121,693,160.73 and 832,602,318.11
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Solution
The fourth proportional to 1,537,466,466.74, 2,121,693,160.73 and 832,602,318.11 is: 1,148,985,478.49
Step by Step Solution
- Step 1: Write the proportion equation
1,537,466,466.74 : 2,121,693,160.73 = 832,602,318.11 : x - Step 2: Convert to fraction form
1,537,466,466.74/2,121,693,160.73 = 832,602,318.11/x - Step 3: Cross multiply
1,537,466,466.74x = 2,121,693,160.73 × 832,602,318.11 - Step 4: Simplify right side
1,537,466,466.74x = 1,766,526,643,947,039,488 - Step 5: Solve for x
x = 1,766,526,643,947,039,488/1,537,466,466.74 - Step 6: Final answer
x = 1,148,985,478.49
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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.