Finding the Fourth Proportional to 1,284,210,931.80, 1,772,234,305.02 and 727,409,207.64
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Solution
The fourth proportional to 1,284,210,931.80, 1,772,234,305.02 and 727,409,207.64 is: 1,003,837,858.44
Step by Step Solution
- Step 1: Write the proportion equation
1,284,210,931.80 : 1,772,234,305.02 = 727,409,207.64 : x - Step 2: Convert to fraction form
1,284,210,931.80/1,772,234,305.02 = 727,409,207.64/x - Step 3: Cross multiply
1,284,210,931.80x = 1,772,234,305.02 × 727,409,207.64 - Step 4: Simplify right side
1,284,210,931.80x = 1,289,139,551,567,024,128 - Step 5: Solve for x
x = 1,289,139,551,567,024,128/1,284,210,931.80 - Step 6: Final answer
x = 1,003,837,858.44
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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.