Finding the Fourth Proportional to 312,812,391,079.98, 431,726,587,638.75 and 175,650,615,110.70
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Solution
The fourth proportional to 312,812,391,079.98, 431,726,587,638.75 and 175,650,615,110.70 is: 242,423,391,274.81
Step by Step Solution
- Step 1: Write the proportion equation
312,812,391,079.98 : 431,726,587,638.75 = 175,650,615,110.70 : x - Step 2: Convert to fraction form
312,812,391,079.98/431,726,587,638.75 = 175,650,615,110.70/x - Step 3: Cross multiply
312,812,391,079.98x = 431,726,587,638.75 × 175,650,615,110.70 - Step 4: Simplify right side
312,812,391,079.98x = 75,833,040,678,389,979,021,312 - Step 5: Solve for x
x = 75,833,040,678,389,979,021,312/312,812,391,079.98 - Step 6: Final answer
x = 242,423,391,274.81
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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.