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Finding the Fourth Proportional to 498,996.50, 688,621.75 and 284,137.43

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Solution

The fourth proportional to 498,996.50, 688,621.75 and 284,137.43 is: 392,113.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,996.50 : 688,621.75 = 284,137.43 : x
  2. Step 2: Convert to fraction form
    498,996.50/688,621.75 = 284,137.43/x
  3. Step 3: Cross multiply
    498,996.50x = 688,621.75 × 284,137.43
  4. Step 4: Simplify right side
    498,996.50x = 195,663,210,133.65
  5. Step 5: Solve for x
    x = 195,663,210,133.65/498,996.50
  6. Step 6: Final answer
    x = 392,113.40

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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.