Finding the Fourth Proportional to 319,506,950,341.68, 440,933,451,452.80 and 176,936,210,389.68
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Solution
The fourth proportional to 319,506,950,341.68, 440,933,451,452.80 and 176,936,210,389.68 is: 244,179,645,703.07
Step by Step Solution
- Step 1: Write the proportion equation
319,506,950,341.68 : 440,933,451,452.80 = 176,936,210,389.68 : x - Step 2: Convert to fraction form
319,506,950,341.68/440,933,451,452.80 = 176,936,210,389.68/x - Step 3: Cross multiply
319,506,950,341.68x = 440,933,451,452.80 × 176,936,210,389.68 - Step 4: Simplify right side
319,506,950,341.68x = 78,017,093,934,100,365,967,360 - Step 5: Solve for x
x = 78,017,093,934,100,365,967,360/319,506,950,341.68 - Step 6: Final answer
x = 244,179,645,703.07
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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.