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Finding the Fourth Proportional to 351,900.64, 527,769.78 and 209,785.78

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Solution

The fourth proportional to 351,900.64, 527,769.78 and 209,785.78 is: 314,630.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,900.64 : 527,769.78 = 209,785.78 : x
  2. Step 2: Convert to fraction form
    351,900.64/527,769.78 = 209,785.78/x
  3. Step 3: Cross multiply
    351,900.64x = 527,769.78 × 209,785.78
  4. Step 4: Simplify right side
    351,900.64x = 110,718,594,957.73
  5. Step 5: Solve for x
    x = 110,718,594,957.73/351,900.64
  6. Step 6: Final answer
    x = 314,630.27

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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.