Finding the Fourth Proportional to 876,244,319,071.05, 1,209,216,243,220.80 and 490,871,377,620.70
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Solution
The fourth proportional to 876,244,319,071.05, 1,209,216,243,220.80 and 490,871,377,620.70 is: 677,401,987,359.41
Step by Step Solution
- Step 1: Write the proportion equation
876,244,319,071.05 : 1,209,216,243,220.80 = 490,871,377,620.70 : x - Step 2: Convert to fraction form
876,244,319,071.05/1,209,216,243,220.80 = 490,871,377,620.70/x - Step 3: Cross multiply
876,244,319,071.05x = 1,209,216,243,220.80 × 490,871,377,620.70 - Step 4: Simplify right side
876,244,319,071.05x = 593,569,643,151,121,570,594,816 - Step 5: Solve for x
x = 593,569,643,151,121,570,594,816/876,244,319,071.05 - Step 6: Final answer
x = 677,401,987,359.41
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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.