Finding the Fourth Proportional to 785,498,459,126.56, 1,178,269,641,271 and 255,507,232,274.08
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Solution
The fourth proportional to 785,498,459,126.56, 1,178,269,641,271 and 255,507,232,274.08 is: 383,267,989,154.92
Step by Step Solution
- Step 1: Write the proportion equation
785,498,459,126.56 : 1,178,269,641,271 = 255,507,232,274.08 : x - Step 2: Convert to fraction form
785,498,459,126.56/1,178,269,641,271 = 255,507,232,274.08/x - Step 3: Cross multiply
785,498,459,126.56x = 1,178,269,641,271 × 255,507,232,274.08 - Step 4: Simplify right side
785,498,459,126.56x = 301,056,414,913,726,290,853,888 - Step 5: Solve for x
x = 301,056,414,913,726,290,853,888/785,498,459,126.56 - Step 6: Final answer
x = 383,267,989,154.92
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.