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Finding the Fourth Proportional to 499,924.54, 689,878.71 and 285,133.81

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Solution

The fourth proportional to 499,924.54, 689,878.71 and 285,133.81 is: 393,474.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,924.54 : 689,878.71 = 285,133.81 : x
  2. Step 2: Convert to fraction form
    499,924.54/689,878.71 = 285,133.81/x
  3. Step 3: Cross multiply
    499,924.54x = 689,878.71 × 285,133.81
  4. Step 4: Simplify right side
    499,924.54x = 196,707,745,020.19
  5. Step 5: Solve for x
    x = 196,707,745,020.19/499,924.54
  6. Step 6: Final answer
    x = 393,474.87

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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.