Finding the Fourth Proportional to 825,243,271,253.60, 1,238,430,346,178.40 and 288,021,231,511.05
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Solution
The fourth proportional to 825,243,271,253.60, 1,238,430,346,178.40 and 288,021,231,511.05 is: 432,229,193,344.55
Step by Step Solution
- Step 1: Write the proportion equation
825,243,271,253.60 : 1,238,430,346,178.40 = 288,021,231,511.05 : x - Step 2: Convert to fraction form
825,243,271,253.60/1,238,430,346,178.40 = 288,021,231,511.05/x - Step 3: Cross multiply
825,243,271,253.60x = 1,238,430,346,178.40 × 288,021,231,511.05 - Step 4: Simplify right side
825,243,271,253.60x = 356,694,233,446,958,720,090,112 - Step 5: Solve for x
x = 356,694,233,446,958,720,090,112/825,243,271,253.60 - Step 6: Final answer
x = 432,229,193,344.55
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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.