Finding the Fourth Proportional to 832,277,982.24, 1,247,515,881.84 and 541,353,008.16
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Solution
The fourth proportional to 832,277,982.24, 1,247,515,881.84 and 541,353,008.16 is: 811,443,399.65
Step by Step Solution
- Step 1: Write the proportion equation
832,277,982.24 : 1,247,515,881.84 = 541,353,008.16 : x - Step 2: Convert to fraction form
832,277,982.24/1,247,515,881.84 = 541,353,008.16/x - Step 3: Cross multiply
832,277,982.24x = 1,247,515,881.84 × 541,353,008.16 - Step 4: Simplify right side
832,277,982.24x = 675,346,475,361,459,072 - Step 5: Solve for x
x = 675,346,475,361,459,072/832,277,982.24 - Step 6: Final answer
x = 811,443,399.65
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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.