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Finding the Fourth Proportional to 499,589.47, 689,416.41 and 284,798.73

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Solution

The fourth proportional to 499,589.47, 689,416.41 and 284,798.73 is: 393,012.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,589.47 : 689,416.41 = 284,798.73 : x
  2. Step 2: Convert to fraction form
    499,589.47/689,416.41 = 284,798.73/x
  3. Step 3: Cross multiply
    499,589.47x = 689,416.41 × 284,798.73
  4. Step 4: Simplify right side
    499,589.47x = 196,344,918,009.16
  5. Step 5: Solve for x
    x = 196,344,918,009.16/499,589.47
  6. Step 6: Final answer
    x = 393,012.52

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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.