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Finding the Fourth Proportional to 379,464.60, 523,690.92 and 216,128.02

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Solution

The fourth proportional to 379,464.60, 523,690.92 and 216,128.02 is: 298,273.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,464.60 : 523,690.92 = 216,128.02 : x
  2. Step 2: Convert to fraction form
    379,464.60/523,690.92 = 216,128.02/x
  3. Step 3: Cross multiply
    379,464.60x = 523,690.92 × 216,128.02
  4. Step 4: Simplify right side
    379,464.60x = 113,184,281,631.58
  5. Step 5: Solve for x
    x = 113,184,281,631.58/379,464.60
  6. Step 6: Final answer
    x = 298,273.62

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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.