Finding the Fourth Proportional to 1,354,971,661.27, 2,032,471,513.36 and 409,577,598.92
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Solution
The fourth proportional to 1,354,971,661.27, 2,032,471,513.36 and 409,577,598.92 is: 614,370,636.75
Step by Step Solution
- Step 1: Write the proportion equation
1,354,971,661.27 : 2,032,471,513.36 = 409,577,598.92 : x - Step 2: Convert to fraction form
1,354,971,661.27/2,032,471,513.36 = 409,577,598.92/x - Step 3: Cross multiply
1,354,971,661.27x = 2,032,471,513.36 × 409,577,598.92 - Step 4: Simplify right side
1,354,971,661.27x = 832,454,802,307,144,064 - Step 5: Solve for x
x = 832,454,802,307,144,064/1,354,971,661.27 - Step 6: Final answer
x = 614,370,636.75
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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.