Finding the Fourth Proportional to 299,221,182,160.54, 449,547,805,122.16 and 191,865,786,860.70
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Solution
The fourth proportional to 299,221,182,160.54, 449,547,805,122.16 and 191,865,786,860.70 is: 288,257,812,292.80
Step by Step Solution
- Step 1: Write the proportion equation
299,221,182,160.54 : 449,547,805,122.16 = 191,865,786,860.70 : x - Step 2: Convert to fraction form
299,221,182,160.54/449,547,805,122.16 = 191,865,786,860.70/x - Step 3: Cross multiply
299,221,182,160.54x = 449,547,805,122.16 × 191,865,786,860.70 - Step 4: Simplify right side
299,221,182,160.54x = 86,252,843,361,263,845,113,856 - Step 5: Solve for x
x = 86,252,843,361,263,845,113,856/299,221,182,160.54 - Step 6: Final answer
x = 288,257,812,292.80
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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.