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Finding the Fourth Proportional to 499,302, 688,959.64 and 284,414.76

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Solution

The fourth proportional to 499,302, 688,959.64 and 284,414.76 is: 392,448.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,302 : 688,959.64 = 284,414.76 : x
  2. Step 2: Convert to fraction form
    499,302/688,959.64 = 284,414.76/x
  3. Step 3: Cross multiply
    499,302x = 688,959.64 × 284,414.76
  4. Step 4: Simplify right side
    499,302x = 195,950,290,660.29
  5. Step 5: Solve for x
    x = 195,950,290,660.29/499,302
  6. Step 6: Final answer
    x = 392,448.44

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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.