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Finding the Fourth Proportional to 404,905.14, 559,021.81 and 257,813.02

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Solution

The fourth proportional to 404,905.14, 559,021.81 and 257,813.02 is: 355,942.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,905.14 : 559,021.81 = 257,813.02 : x
  2. Step 2: Convert to fraction form
    404,905.14/559,021.81 = 257,813.02/x
  3. Step 3: Cross multiply
    404,905.14x = 559,021.81 × 257,813.02
  4. Step 4: Simplify right side
    404,905.14x = 144,123,099,253.66
  5. Step 5: Solve for x
    x = 144,123,099,253.66/404,905.14
  6. Step 6: Final answer
    x = 355,942.87

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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.