Finding the Fourth Proportional to 460,371,406.14, 690,829,463.61 and 169,442,863.74
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Solution
The fourth proportional to 460,371,406.14, 690,829,463.61 and 169,442,863.74 is: 254,264,537.52
Step by Step Solution
- Step 1: Write the proportion equation
460,371,406.14 : 690,829,463.61 = 169,442,863.74 : x - Step 2: Convert to fraction form
460,371,406.14/690,829,463.61 = 169,442,863.74/x - Step 3: Cross multiply
460,371,406.14x = 690,829,463.61 × 169,442,863.74 - Step 4: Simplify right side
460,371,406.14x = 117,056,122,670,046,528 - Step 5: Solve for x
x = 117,056,122,670,046,528/460,371,406.14 - Step 6: Final answer
x = 254,264,537.52
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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.