Finding the Fourth Proportional to 424,347,328,900.28, 585,596,334,866.46 and 231,659,501,807
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Solution
The fourth proportional to 424,347,328,900.28, 585,596,334,866.46 and 231,659,501,807 is: 319,688,486,190.63
Step by Step Solution
- Step 1: Write the proportion equation
424,347,328,900.28 : 585,596,334,866.46 = 231,659,501,807 : x - Step 2: Convert to fraction form
424,347,328,900.28/585,596,334,866.46 = 231,659,501,807/x - Step 3: Cross multiply
424,347,328,900.28x = 585,596,334,866.46 × 231,659,501,807 - Step 4: Simplify right side
424,347,328,900.28x = 135,658,955,195,169,254,670,336 - Step 5: Solve for x
x = 135,658,955,195,169,254,670,336/424,347,328,900.28 - Step 6: Final answer
x = 319,688,486,190.63
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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.