Finding the Fourth Proportional to 310,315,101.84, 465,586,155.12 and 144,397,737.51
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Solution
The fourth proportional to 310,315,101.84, 465,586,155.12 and 144,397,737.51 is: 216,649,421.88
Step by Step Solution
- Step 1: Write the proportion equation
310,315,101.84 : 465,586,155.12 = 144,397,737.51 : x - Step 2: Convert to fraction form
310,315,101.84/465,586,155.12 = 144,397,737.51/x - Step 3: Cross multiply
310,315,101.84x = 465,586,155.12 × 144,397,737.51 - Step 4: Simplify right side
310,315,101.84x = 67,229,587,415,307,896 - Step 5: Solve for x
x = 67,229,587,415,307,896/310,315,101.84 - Step 6: Final answer
x = 216,649,421.88
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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.