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Finding the Fourth Proportional to 402,478.71, 603,738.73 and 102,961.87

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Solution

The fourth proportional to 402,478.71, 603,738.73 and 102,961.87 is: 154,448.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,478.71 : 603,738.73 = 102,961.87 : x
  2. Step 2: Convert to fraction form
    402,478.71/603,738.73 = 102,961.87/x
  3. Step 3: Cross multiply
    402,478.71x = 603,738.73 × 102,961.87
  4. Step 4: Simplify right side
    402,478.71x = 62,162,067,251.58
  5. Step 5: Solve for x
    x = 62,162,067,251.58/402,478.71
  6. Step 6: Final answer
    x = 154,448.09

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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.