Finding the Fourth Proportional to 1,476,894,756.41, 2,038,090,782.74 and 807,833,948.94
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Solution
The fourth proportional to 1,476,894,756.41, 2,038,090,782.74 and 807,833,948.94 is: 1,114,797,732.32
Step by Step Solution
- Step 1: Write the proportion equation
1,476,894,756.41 : 2,038,090,782.74 = 807,833,948.94 : x - Step 2: Convert to fraction form
1,476,894,756.41/2,038,090,782.74 = 807,833,948.94/x - Step 3: Cross multiply
1,476,894,756.41x = 2,038,090,782.74 × 807,833,948.94 - Step 4: Simplify right side
1,476,894,756.41x = 1,646,438,925,315,030,528 - Step 5: Solve for x
x = 1,646,438,925,315,030,528/1,476,894,756.41 - Step 6: Final answer
x = 1,114,797,732.32
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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.