Finding the Fourth Proportional to 1,557,567,090,457.80, 2,149,455,205,289.60 and 863,119,248,180.28
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Solution
The fourth proportional to 1,557,567,090,457.80, 2,149,455,205,289.60 and 863,119,248,180.28 is: 1,191,111,556,062.38
Step by Step Solution
- Step 1: Write the proportion equation
1,557,567,090,457.80 : 2,149,455,205,289.60 = 863,119,248,180.28 : x - Step 2: Convert to fraction form
1,557,567,090,457.80/2,149,455,205,289.60 = 863,119,248,180.28/x - Step 3: Cross multiply
1,557,567,090,457.80x = 2,149,455,205,289.60 × 863,119,248,180.28 - Step 4: Simplify right side
1,557,567,090,457.80x = 1,855,236,160,786,749,062,119,424 - Step 5: Solve for x
x = 1,855,236,160,786,749,062,119,424/1,557,567,090,457.80 - Step 6: Final answer
x = 1,191,111,556,062.38
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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.