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Finding the Fourth Proportional to 314,014.60, 471,027.30 and 89,380.81

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Solution

The fourth proportional to 314,014.60, 471,027.30 and 89,380.81 is: 134,072.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,014.60 : 471,027.30 = 89,380.81 : x
  2. Step 2: Convert to fraction form
    314,014.60/471,027.30 = 89,380.81/x
  3. Step 3: Cross multiply
    314,014.60x = 471,027.30 × 89,380.81
  4. Step 4: Simplify right side
    314,014.60x = 42,100,801,606.11
  5. Step 5: Solve for x
    x = 42,100,801,606.11/314,014.60
  6. Step 6: Final answer
    x = 134,072.75

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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.