Finding the Fourth Proportional to 742,197.24, 1,024,227.91 and 402,658.20
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Solution
The fourth proportional to 742,197.24, 1,024,227.91 and 402,658.20 is: 555,665.99
Step by Step Solution
- Step 1: Write the proportion equation
742,197.24 : 1,024,227.91 = 402,658.20 : x - Step 2: Convert to fraction form
742,197.24/1,024,227.91 = 402,658.20/x - Step 3: Cross multiply
742,197.24x = 1,024,227.91 × 402,658.20 - Step 4: Simplify right side
742,197.24x = 412,413,766,630.36 - Step 5: Solve for x
x = 412,413,766,630.36/742,197.24 - Step 6: Final answer
x = 555,665.99
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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.