Finding the Fourth Proportional to 742,296,155.98, 1,024,350,828.10 and 412,271,557.42
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Solution
The fourth proportional to 742,296,155.98, 1,024,350,828.10 and 412,271,557.42 is: 568,924,825.82
Step by Step Solution
- Step 1: Write the proportion equation
742,296,155.98 : 1,024,350,828.10 = 412,271,557.42 : x - Step 2: Convert to fraction form
742,296,155.98/1,024,350,828.10 = 412,271,557.42/x - Step 3: Cross multiply
742,296,155.98x = 1,024,350,828.10 × 412,271,557.42 - Step 4: Simplify right side
742,296,155.98x = 422,310,711,245,253,696 - Step 5: Solve for x
x = 422,310,711,245,253,696/742,296,155.98 - Step 6: Final answer
x = 568,924,825.82
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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.