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Finding the Fourth Proportional to 314,919.21, 472,236.66 and 90,228.22

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Solution

The fourth proportional to 314,919.21, 472,236.66 and 90,228.22 is: 135,301.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,919.21 : 472,236.66 = 90,228.22 : x
  2. Step 2: Convert to fraction form
    314,919.21/472,236.66 = 90,228.22/x
  3. Step 3: Cross multiply
    314,919.21x = 472,236.66 × 90,228.22
  4. Step 4: Simplify right side
    314,919.21x = 42,609,073,250.55
  5. Step 5: Solve for x
    x = 42,609,073,250.55/314,919.21
  6. Step 6: Final answer
    x = 135,301.60

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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.