Finding the Fourth Proportional to 780,461,987.07, 1,077,105,646.71 and 428,106,079.29
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Solution
The fourth proportional to 780,461,987.07, 1,077,105,646.71 and 428,106,079.29 is: 590,823,746.75
Step by Step Solution
- Step 1: Write the proportion equation
780,461,987.07 : 1,077,105,646.71 = 428,106,079.29 : x - Step 2: Convert to fraction form
780,461,987.07/1,077,105,646.71 = 428,106,079.29/x - Step 3: Cross multiply
780,461,987.07x = 1,077,105,646.71 × 428,106,079.29 - Step 4: Simplify right side
780,461,987.07x = 461,115,475,394,138,048 - Step 5: Solve for x
x = 461,115,475,394,138,048/780,461,987.07 - Step 6: Final answer
x = 590,823,746.75
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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.