Finding the Fourth Proportional to 1,557,119,665.93, 2,148,831,687.64 and 842,655,252.90
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Solution
The fourth proportional to 1,557,119,665.93, 2,148,831,687.64 and 842,655,252.90 is: 1,162,867,792.89
Step by Step Solution
- Step 1: Write the proportion equation
1,557,119,665.93 : 2,148,831,687.64 = 842,655,252.90 : x - Step 2: Convert to fraction form
1,557,119,665.93/2,148,831,687.64 = 842,655,252.90/x - Step 3: Cross multiply
1,557,119,665.93x = 2,148,831,687.64 × 842,655,252.90 - Step 4: Simplify right side
1,557,119,665.93x = 1,810,724,309,179,488,000 - Step 5: Solve for x
x = 1,810,724,309,179,488,000/1,557,119,665.93 - Step 6: Final answer
x = 1,162,867,792.89
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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.