Finding the Fourth Proportional to 282,730,143,986.84, 424,092,421,198.52 and 129,531,578,873.30
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Solution
The fourth proportional to 282,730,143,986.84, 424,092,421,198.52 and 129,531,578,873.30 is: 194,296,087,892.92
Step by Step Solution
- Step 1: Write the proportion equation
282,730,143,986.84 : 424,092,421,198.52 = 129,531,578,873.30 : x - Step 2: Convert to fraction form
282,730,143,986.84/424,092,421,198.52 = 129,531,578,873.30/x - Step 3: Cross multiply
282,730,143,986.84x = 424,092,421,198.52 × 129,531,578,873.30 - Step 4: Simplify right side
282,730,143,986.84x = 54,933,360,906,044,862,103,552 - Step 5: Solve for x
x = 54,933,360,906,044,862,103,552/282,730,143,986.84 - Step 6: Final answer
x = 194,296,087,892.92
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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.