Finding the Fourth Proportional to 1,155,467,534.46, 1,594,410,676.12 and 646,858,098.36
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Solution
The fourth proportional to 1,155,467,534.46, 1,594,410,676.12 and 646,858,098.36 is: 892,588,867.45
Step by Step Solution
- Step 1: Write the proportion equation
1,155,467,534.46 : 1,594,410,676.12 = 646,858,098.36 : x - Step 2: Convert to fraction form
1,155,467,534.46/1,594,410,676.12 = 646,858,098.36/x - Step 3: Cross multiply
1,155,467,534.46x = 1,594,410,676.12 × 646,858,098.36 - Step 4: Simplify right side
1,155,467,534.46x = 1,031,357,457,959,864,960 - Step 5: Solve for x
x = 1,031,357,457,959,864,960/1,155,467,534.46 - Step 6: Final answer
x = 892,588,867.45
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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.