Finding the Fourth Proportional to 1,159,716,972.36, 1,600,409,683.62 and 638,196,204.36
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Solution
The fourth proportional to 1,159,716,972.36, 1,600,409,683.62 and 638,196,204.36 is: 880,710,906.07
Step by Step Solution
- Step 1: Write the proportion equation
1,159,716,972.36 : 1,600,409,683.62 = 638,196,204.36 : x - Step 2: Convert to fraction form
1,159,716,972.36/1,600,409,683.62 = 638,196,204.36/x - Step 3: Cross multiply
1,159,716,972.36x = 1,600,409,683.62 × 638,196,204.36 - Step 4: Simplify right side
1,159,716,972.36x = 1,021,375,385,507,272,448 - Step 5: Solve for x
x = 1,021,375,385,507,272,448/1,159,716,972.36 - Step 6: Final answer
x = 880,710,906.07
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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.