Finding the Fourth Proportional to 310,497.76, 465,746.64 and 100,135.70
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Solution
The fourth proportional to 310,497.76, 465,746.64 and 100,135.70 is: 150,203.54
Step by Step Solution
- Step 1: Write the proportion equation
310,497.76 : 465,746.64 = 100,135.70 : x - Step 2: Convert to fraction form
310,497.76/465,746.64 = 100,135.70/x - Step 3: Cross multiply
310,497.76x = 465,746.64 × 100,135.70 - Step 4: Simplify right side
310,497.76x = 46,637,863,490.31 - Step 5: Solve for x
x = 46,637,863,490.31/310,497.76 - Step 6: Final answer
x = 150,203.54
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.