Finding the Fourth Proportional to 927,148,048,231.30, 1,390,722,072,346.90 and 331,580,401,101.70
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Solution
The fourth proportional to 927,148,048,231.30, 1,390,722,072,346.90 and 331,580,401,101.70 is: 497,370,601,652.53
Step by Step Solution
- Step 1: Write the proportion equation
927,148,048,231.30 : 1,390,722,072,346.90 = 331,580,401,101.70 : x - Step 2: Convert to fraction form
927,148,048,231.30/1,390,722,072,346.90 = 331,580,401,101.70/x - Step 3: Cross multiply
927,148,048,231.30x = 1,390,722,072,346.90 × 331,580,401,101.70 - Step 4: Simplify right side
927,148,048,231.30x = 461,136,182,569,772,502,745,088 - Step 5: Solve for x
x = 461,136,182,569,772,502,745,088/927,148,048,231.30 - Step 6: Final answer
x = 497,370,601,652.53
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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.