Finding the Fourth Proportional to 313,670,643.80, 470,505,965.70 and 109,130,739.80
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Solution
The fourth proportional to 313,670,643.80, 470,505,965.70 and 109,130,739.80 is: 163,696,109.70
Step by Step Solution
- Step 1: Write the proportion equation
313,670,643.80 : 470,505,965.70 = 109,130,739.80 : x - Step 2: Convert to fraction form
313,670,643.80/470,505,965.70 = 109,130,739.80/x - Step 3: Cross multiply
313,670,643.80x = 470,505,965.70 × 109,130,739.80 - Step 4: Simplify right side
313,670,643.80x = 51,346,664,117,154,424 - Step 5: Solve for x
x = 51,346,664,117,154,424/313,670,643.80 - Step 6: Final answer
x = 163,696,109.70
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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.