Finding the Fourth Proportional to 1,295,032,321.76, 1,942,270,160.16 and 409,787,831.84
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Solution
The fourth proportional to 1,295,032,321.76, 1,942,270,160.16 and 409,787,831.84 is: 614,593,678.02
Step by Step Solution
- Step 1: Write the proportion equation
1,295,032,321.76 : 1,942,270,160.16 = 409,787,831.84 : x - Step 2: Convert to fraction form
1,295,032,321.76/1,942,270,160.16 = 409,787,831.84/x - Step 3: Cross multiply
1,295,032,321.76x = 1,942,270,160.16 × 409,787,831.84 - Step 4: Simplify right side
1,295,032,321.76x = 795,918,677,779,495,936 - Step 5: Solve for x
x = 795,918,677,779,495,936/1,295,032,321.76 - Step 6: Final answer
x = 614,593,678.02
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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.