Finding the Fourth Proportional to 645,212,368,406.90, 890,369,727,948.20 and 356,174,419,777.98
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Solution
The fourth proportional to 645,212,368,406.90, 890,369,727,948.20 and 356,174,419,777.98 is: 491,507,814,741.45
Step by Step Solution
- Step 1: Write the proportion equation
645,212,368,406.90 : 890,369,727,948.20 = 356,174,419,777.98 : x - Step 2: Convert to fraction form
645,212,368,406.90/890,369,727,948.20 = 356,174,419,777.98/x - Step 3: Cross multiply
645,212,368,406.90x = 890,369,727,948.20 × 356,174,419,777.98 - Step 4: Simplify right side
645,212,368,406.90x = 317,126,921,239,827,996,213,248 - Step 5: Solve for x
x = 317,126,921,239,827,996,213,248/645,212,368,406.90 - Step 6: Final answer
x = 491,507,814,741.45
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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.