Finding the Fourth Proportional to 909,772,403.84, 1,364,657,545.92 and 296,355,639.68
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Solution
The fourth proportional to 909,772,403.84, 1,364,657,545.92 and 296,355,639.68 is: 444,533,114.28
Step by Step Solution
- Step 1: Write the proportion equation
909,772,403.84 : 1,364,657,545.92 = 296,355,639.68 : x - Step 2: Convert to fraction form
909,772,403.84/1,364,657,545.92 = 296,355,639.68/x - Step 3: Cross multiply
909,772,403.84x = 1,364,657,545.92 × 296,355,639.68 - Step 4: Simplify right side
909,772,403.84x = 404,423,959,965,260,608 - Step 5: Solve for x
x = 404,423,959,965,260,608/909,772,403.84 - Step 6: Final answer
x = 444,533,114.28
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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.