Finding the Fourth Proportional to 1,532,830,965, 2,115,307,658.37 and 827,983,257.81
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Solution
The fourth proportional to 1,532,830,965, 2,115,307,658.37 and 827,983,257.81 is: 1,142,617,396.33
Step by Step Solution
- Step 1: Write the proportion equation
1,532,830,965 : 2,115,307,658.37 = 827,983,257.81 : x - Step 2: Convert to fraction form
1,532,830,965/2,115,307,658.37 = 827,983,257.81/x - Step 3: Cross multiply
1,532,830,965x = 2,115,307,658.37 × 827,983,257.81 - Step 4: Simplify right side
1,532,830,965x = 1,751,439,326,247,634,944 - Step 5: Solve for x
x = 1,751,439,326,247,634,944/1,532,830,965 - Step 6: Final answer
x = 1,142,617,396.33
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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.