Finding the Fourth Proportional to 876,244,319,094.54, 1,209,216,243,253.10 and 490,871,377,644.18
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Solution
The fourth proportional to 876,244,319,094.54, 1,209,216,243,253.10 and 490,871,377,644.18 is: 677,401,987,391.75
Step by Step Solution
- Step 1: Write the proportion equation
876,244,319,094.54 : 1,209,216,243,253.10 = 490,871,377,644.18 : x - Step 2: Convert to fraction form
876,244,319,094.54/1,209,216,243,253.10 = 490,871,377,644.18/x - Step 3: Cross multiply
876,244,319,094.54x = 1,209,216,243,253.10 × 490,871,377,644.18 - Step 4: Simplify right side
876,244,319,094.54x = 593,569,643,195,369,128,984,576 - Step 5: Solve for x
x = 593,569,643,195,369,128,984,576/876,244,319,094.54 - Step 6: Final answer
x = 677,401,987,391.75
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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.