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Finding the Fourth Proportional to 499,471.43, 689,137.65 and 284,606.91

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Solution

The fourth proportional to 499,471.43, 689,137.65 and 284,606.91 is: 392,681.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,471.43 : 689,137.65 = 284,606.91 : x
  2. Step 2: Convert to fraction form
    499,471.43/689,137.65 = 284,606.91/x
  3. Step 3: Cross multiply
    499,471.43x = 689,137.65 × 284,606.91
  4. Step 4: Simplify right side
    499,471.43x = 196,133,337,131.16
  5. Step 5: Solve for x
    x = 196,133,337,131.16/499,471.43
  6. Step 6: Final answer
    x = 392,681.80

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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.