Finding the Fourth Proportional to 316,756,043,164.36, 437,125,613,536.74 and 172,239,137,285.32
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Solution
The fourth proportional to 316,756,043,164.36, 437,125,613,536.74 and 172,239,137,285.32 is: 237,691,245,946.70
Step by Step Solution
- Step 1: Write the proportion equation
316,756,043,164.36 : 437,125,613,536.74 = 172,239,137,285.32 : x - Step 2: Convert to fraction form
316,756,043,164.36/437,125,613,536.74 = 172,239,137,285.32/x - Step 3: Cross multiply
316,756,043,164.36x = 437,125,613,536.74 × 172,239,137,285.32 - Step 4: Simplify right side
316,756,043,164.36x = 75,290,138,560,884,297,957,376 - Step 5: Solve for x
x = 75,290,138,560,884,297,957,376/316,756,043,164.36 - Step 6: Final answer
x = 237,691,245,946.70
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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.