Finding the Fourth Proportional to 212,342,463,709.74, 293,102,432,898.56 and 169,018,219,134.76
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Solution
The fourth proportional to 212,342,463,709.74, 293,102,432,898.56 and 169,018,219,134.76 is: 233,300,727,358.51
Step by Step Solution
- Step 1: Write the proportion equation
212,342,463,709.74 : 293,102,432,898.56 = 169,018,219,134.76 : x - Step 2: Convert to fraction form
212,342,463,709.74/293,102,432,898.56 = 169,018,219,134.76/x - Step 3: Cross multiply
212,342,463,709.74x = 293,102,432,898.56 × 169,018,219,134.76 - Step 4: Simplify right side
212,342,463,709.74x = 49,539,651,232,580,105,142,272 - Step 5: Solve for x
x = 49,539,651,232,580,105,142,272/212,342,463,709.74 - Step 6: Final answer
x = 233,300,727,358.51
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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.