Finding the Fourth Proportional to 256,775,985,371.08, 384,828,919,867.36 and 143,451,133,858.17
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Solution
The fourth proportional to 256,775,985,371.08, 384,828,919,867.36 and 143,451,133,858.17 is: 214,989,516,315.59
Step by Step Solution
- Step 1: Write the proportion equation
256,775,985,371.08 : 384,828,919,867.36 = 143,451,133,858.17 : x - Step 2: Convert to fraction form
256,775,985,371.08/384,828,919,867.36 = 143,451,133,858.17/x - Step 3: Cross multiply
256,775,985,371.08x = 384,828,919,867.36 × 143,451,133,858.17 - Step 4: Simplify right side
256,775,985,371.08x = 55,204,144,896,387,638,624,256 - Step 5: Solve for x
x = 55,204,144,896,387,638,624,256/256,775,985,371.08 - Step 6: Final answer
x = 214,989,516,315.59
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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.