Finding the Fourth Proportional to 387,580,438,959.36, 534,838,690,277.12 and 216,288,926,757.12
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Solution
The fourth proportional to 387,580,438,959.36, 534,838,690,277.12 and 216,288,926,757.12 is: 298,466,265,786.83
Step by Step Solution
- Step 1: Write the proportion equation
387,580,438,959.36 : 534,838,690,277.12 = 216,288,926,757.12 : x - Step 2: Convert to fraction form
387,580,438,959.36/534,838,690,277.12 = 216,288,926,757.12/x - Step 3: Cross multiply
387,580,438,959.36x = 534,838,690,277.12 × 216,288,926,757.12 - Step 4: Simplify right side
387,580,438,959.36x = 115,679,686,308,221,985,751,040 - Step 5: Solve for x
x = 115,679,686,308,221,985,751,040/387,580,438,959.36 - Step 6: Final answer
x = 298,466,265,786.83
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1.5x scale
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.