Finding the Fourth Proportional to 258,572,510,649.08, 356,840,905,266.90 and 148,706,942,487.53
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Solution
The fourth proportional to 258,572,510,649.08, 356,840,905,266.90 and 148,706,942,487.53 is: 205,221,815,124.58
Step by Step Solution
- Step 1: Write the proportion equation
258,572,510,649.08 : 356,840,905,266.90 = 148,706,942,487.53 : x - Step 2: Convert to fraction form
258,572,510,649.08/356,840,905,266.90 = 148,706,942,487.53/x - Step 3: Cross multiply
258,572,510,649.08x = 356,840,905,266.90 × 148,706,942,487.53 - Step 4: Simplify right side
258,572,510,649.08x = 53,064,719,976,723,040,436,224 - Step 5: Solve for x
x = 53,064,719,976,723,040,436,224/258,572,510,649.08 - Step 6: Final answer
x = 205,221,815,124.58
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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.