Finding the Fourth Proportional to 876,244,319,070.05, 1,209,216,243,219.40 and 490,871,377,619.71
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Solution
The fourth proportional to 876,244,319,070.05, 1,209,216,243,219.40 and 490,871,377,619.71 is: 677,401,987,358.03
Step by Step Solution
- Step 1: Write the proportion equation
876,244,319,070.05 : 1,209,216,243,219.40 = 490,871,377,619.71 : x - Step 2: Convert to fraction form
876,244,319,070.05/1,209,216,243,219.40 = 490,871,377,619.71/x - Step 3: Cross multiply
876,244,319,070.05x = 1,209,216,243,219.40 × 490,871,377,619.71 - Step 4: Simplify right side
876,244,319,070.05x = 593,569,643,149,237,153,693,696 - Step 5: Solve for x
x = 593,569,643,149,237,153,693,696/876,244,319,070.05 - Step 6: Final answer
x = 677,401,987,358.03
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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.