Finding the Fourth Proportional to 1,409,026,862.14, 1,944,403,798.90 and 782,535,646.28
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Solution
The fourth proportional to 1,409,026,862.14, 1,944,403,798.90 and 782,535,646.28 is: 1,079,869,606.67
Step by Step Solution
- Step 1: Write the proportion equation
1,409,026,862.14 : 1,944,403,798.90 = 782,535,646.28 : x - Step 2: Convert to fraction form
1,409,026,862.14/1,944,403,798.90 = 782,535,646.28/x - Step 3: Cross multiply
1,409,026,862.14x = 1,944,403,798.90 × 782,535,646.28 - Step 4: Simplify right side
1,409,026,862.14x = 1,521,565,283,401,498,624 - Step 5: Solve for x
x = 1,521,565,283,401,498,624/1,409,026,862.14 - Step 6: Final answer
x = 1,079,869,606.67
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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.