Finding the Fourth Proportional to 495,987,460,707.66, 743,376,771,912.70 and 257,090,403,499.98
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Solution
The fourth proportional to 495,987,460,707.66, 743,376,771,912.70 and 257,090,403,499.98 is: 385,322,310,307.75
Step by Step Solution
- Step 1: Write the proportion equation
495,987,460,707.66 : 743,376,771,912.70 = 257,090,403,499.98 : x - Step 2: Convert to fraction form
495,987,460,707.66/743,376,771,912.70 = 257,090,403,499.98/x - Step 3: Cross multiply
495,987,460,707.66x = 743,376,771,912.70 × 257,090,403,499.98 - Step 4: Simplify right side
495,987,460,707.66x = 191,115,034,243,548,642,803,712 - Step 5: Solve for x
x = 191,115,034,243,548,642,803,712/495,987,460,707.66 - Step 6: Final answer
x = 385,322,310,307.75
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.