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Finding the Fourth Proportional to 486,000, 670,680 and 284,796

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Solution

The fourth proportional to 486,000, 670,680 and 284,796 is: 393,018.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,000 : 670,680 = 284,796 : x
  2. Step 2: Convert to fraction form
    486,000/670,680 = 284,796/x
  3. Step 3: Cross multiply
    486,000x = 670,680 × 284,796
  4. Step 4: Simplify right side
    486,000x = 191,006,981,280
  5. Step 5: Solve for x
    x = 191,006,981,280/486,000
  6. Step 6: Final answer
    x = 393,018.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.