Finding the Fourth Proportional to 832,347,706.98, 1,148,639,436.36 and 497,820,223.65
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Solution
The fourth proportional to 832,347,706.98, 1,148,639,436.36 and 497,820,223.65 is: 686,991,669.84
Step by Step Solution
- Step 1: Write the proportion equation
832,347,706.98 : 1,148,639,436.36 = 497,820,223.65 : x - Step 2: Convert to fraction form
832,347,706.98/1,148,639,436.36 = 497,820,223.65/x - Step 3: Cross multiply
832,347,706.98x = 1,148,639,436.36 × 497,820,223.65 - Step 4: Simplify right side
832,347,706.98x = 571,815,941,101,945,088 - Step 5: Solve for x
x = 571,815,941,101,945,088/832,347,706.98 - Step 6: Final answer
x = 686,991,669.84
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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.