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Finding the Fourth Proportional to 414,898.64, 572,258.76 and 287,579.60

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Solution

The fourth proportional to 414,898.64, 572,258.76 and 287,579.60 is: 396,650.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,898.64 : 572,258.76 = 287,579.60 : x
  2. Step 2: Convert to fraction form
    414,898.64/572,258.76 = 287,579.60/x
  3. Step 3: Cross multiply
    414,898.64x = 572,258.76 × 287,579.60
  4. Step 4: Simplify right side
    414,898.64x = 164,569,945,297.30
  5. Step 5: Solve for x
    x = 164,569,945,297.30/414,898.64
  6. Step 6: Final answer
    x = 396,650.96

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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.