Finding the Fourth Proportional to 230,647,505,796.90, 318,293,447,292.87 and 137,948,358,677.65
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Solution
The fourth proportional to 230,647,505,796.90, 318,293,447,292.87 and 137,948,358,677.65 is: 190,368,668,762.31
Step by Step Solution
- Step 1: Write the proportion equation
230,647,505,796.90 : 318,293,447,292.87 = 137,948,358,677.65 : x - Step 2: Convert to fraction form
230,647,505,796.90/318,293,447,292.87 = 137,948,358,677.65/x - Step 3: Cross multiply
230,647,505,796.90x = 318,293,447,292.87 × 137,948,358,677.65 - Step 4: Simplify right side
230,647,505,796.90x = 43,908,058,631,902,515,429,376 - Step 5: Solve for x
x = 43,908,058,631,902,515,429,376/230,647,505,796.90 - Step 6: Final answer
x = 190,368,668,762.31
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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.