Finding the Fourth Proportional to 310,707.60, 462,340.02 and 309,657.84
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Solution
The fourth proportional to 310,707.60, 462,340.02 and 309,657.84 is: 460,777.95
Step by Step Solution
- Step 1: Write the proportion equation
310,707.60 : 462,340.02 = 309,657.84 : x - Step 2: Convert to fraction form
310,707.60/462,340.02 = 309,657.84/x - Step 3: Cross multiply
310,707.60x = 462,340.02 × 309,657.84 - Step 4: Simplify right side
310,707.60x = 143,167,211,938.76 - Step 5: Solve for x
x = 143,167,211,938.76/310,707.60 - Step 6: Final answer
x = 460,777.95
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.