Finding the Fourth Proportional to 742,413.38, 1,024,533.16 and 402,881.54
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Solution
The fourth proportional to 742,413.38, 1,024,533.16 and 402,881.54 is: 555,977.99
Step by Step Solution
- Step 1: Write the proportion equation
742,413.38 : 1,024,533.16 = 402,881.54 : x - Step 2: Convert to fraction form
742,413.38/1,024,533.16 = 402,881.54/x - Step 3: Cross multiply
742,413.38x = 1,024,533.16 × 402,881.54 - Step 4: Simplify right side
742,413.38x = 412,765,497,281.87 - Step 5: Solve for x
x = 412,765,497,281.87/742,413.38 - Step 6: Final answer
x = 555,977.99
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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.