Finding the Fourth Proportional to 1,208,926,403.87, 1,813,729,727.97 and 432,682,421.63
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Solution
The fourth proportional to 1,208,926,403.87, 1,813,729,727.97 and 432,682,421.63 is: 649,145,364.32
Step by Step Solution
- Step 1: Write the proportion equation
1,208,926,403.87 : 1,813,729,727.97 = 432,682,421.63 : x - Step 2: Convert to fraction form
1,208,926,403.87/1,813,729,727.97 = 432,682,421.63/x - Step 3: Cross multiply
1,208,926,403.87x = 1,813,729,727.97 × 432,682,421.63 - Step 4: Simplify right side
1,208,926,403.87x = 784,768,970,871,312,128 - Step 5: Solve for x
x = 784,768,970,871,312,128/1,208,926,403.87 - Step 6: Final answer
x = 649,145,364.32
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1.5x scale
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.