Finding the Fourth Proportional to 785,282,126,958.09, 1,178,263,356,207.30 and 421,823,693,224.17
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Solution
The fourth proportional to 785,282,126,958.09, 1,178,263,356,207.30 and 421,823,693,224.17 is: 632,918,263,951.01
Step by Step Solution
- Step 1: Write the proportion equation
785,282,126,958.09 : 1,178,263,356,207.30 = 421,823,693,224.17 : x - Step 2: Convert to fraction form
785,282,126,958.09/1,178,263,356,207.30 = 421,823,693,224.17/x - Step 3: Cross multiply
785,282,126,958.09x = 1,178,263,356,207.30 × 421,823,693,224.17 - Step 4: Simplify right side
785,282,126,958.09x = 497,019,400,506,069,030,535,168 - Step 5: Solve for x
x = 497,019,400,506,069,030,535,168/785,282,126,958.09 - Step 6: Final answer
x = 632,918,263,951.01
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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.