Finding the Fourth Proportional to 312,271,340,790.28, 430,775,853,349.73 and 203,947,845,652.46
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Solution
The fourth proportional to 312,271,340,790.28, 430,775,853,349.73 and 203,947,845,652.46 is: 281,344,445,594.77
Step by Step Solution
- Step 1: Write the proportion equation
312,271,340,790.28 : 430,775,853,349.73 = 203,947,845,652.46 : x - Step 2: Convert to fraction form
312,271,340,790.28/430,775,853,349.73 = 203,947,845,652.46/x - Step 3: Cross multiply
312,271,340,790.28x = 430,775,853,349.73 × 203,947,845,652.46 - Step 4: Simplify right side
312,271,340,790.28x = 87,855,807,249,777,462,083,584 - Step 5: Solve for x
x = 87,855,807,249,777,462,083,584/312,271,340,790.28 - Step 6: Final answer
x = 281,344,445,594.77
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1.5x scale
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.