Finding the Fourth Proportional to 409,547,478.71, 565,175,540.21 and 221,375,156.02
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Solution
The fourth proportional to 409,547,478.71, 565,175,540.21 and 221,375,156.02 is: 305,497,725.89
Step by Step Solution
- Step 1: Write the proportion equation
409,547,478.71 : 565,175,540.21 = 221,375,156.02 : x - Step 2: Convert to fraction form
409,547,478.71/565,175,540.21 = 221,375,156.02/x - Step 3: Cross multiply
409,547,478.71x = 565,175,540.21 × 221,375,156.02 - Step 4: Simplify right side
409,547,478.71x = 125,115,823,390,156,736 - Step 5: Solve for x
x = 125,115,823,390,156,736/409,547,478.71 - Step 6: Final answer
x = 305,497,725.89
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.