Finding the Fourth Proportional to 867,278,201,873.05, 1,196,872,621,405.90 and 476,658,611,343.62
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Solution
The fourth proportional to 867,278,201,873.05, 1,196,872,621,405.90 and 476,658,611,343.62 is: 657,804,658,807.79
Step by Step Solution
- Step 1: Write the proportion equation
867,278,201,873.05 : 1,196,872,621,405.90 = 476,658,611,343.62 : x - Step 2: Convert to fraction form
867,278,201,873.05/1,196,872,621,405.90 = 476,658,611,343.62/x - Step 3: Cross multiply
867,278,201,873.05x = 1,196,872,621,405.90 × 476,658,611,343.62 - Step 4: Simplify right side
867,278,201,873.05x = 570,499,641,674,534,458,753,024 - Step 5: Solve for x
x = 570,499,641,674,534,458,753,024/867,278,201,873.05 - Step 6: Final answer
x = 657,804,658,807.79
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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.