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Finding the Fourth Proportional to 259,358.94, 389,038.41 and 200,280.78

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Solution

The fourth proportional to 259,358.94, 389,038.41 and 200,280.78 is: 300,421.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,358.94 : 389,038.41 = 200,280.78 : x
  2. Step 2: Convert to fraction form
    259,358.94/389,038.41 = 200,280.78/x
  3. Step 3: Cross multiply
    259,358.94x = 389,038.41 × 200,280.78
  4. Step 4: Simplify right side
    259,358.94x = 77,916,916,204.76
  5. Step 5: Solve for x
    x = 77,916,916,204.76/259,358.94
  6. Step 6: Final answer
    x = 300,421.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.