Finding the Fourth Proportional to 257,121,557,923.99, 385,427,580,221.01 and 120,739,545,175.13
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Solution
The fourth proportional to 257,121,557,923.99, 385,427,580,221.01 and 120,739,545,175.13 is: 180,989,688,727.67
Step by Step Solution
- Step 1: Write the proportion equation
257,121,557,923.99 : 385,427,580,221.01 = 120,739,545,175.13 : x - Step 2: Convert to fraction form
257,121,557,923.99/385,427,580,221.01 = 120,739,545,175.13/x - Step 3: Cross multiply
257,121,557,923.99x = 385,427,580,221.01 × 120,739,545,175.13 - Step 4: Simplify right side
257,121,557,923.99x = 46,536,350,733,835,679,301,632 - Step 5: Solve for x
x = 46,536,350,733,835,679,301,632/257,121,557,923.99 - Step 6: Final answer
x = 180,989,688,727.67
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1.5x scale
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.