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Finding the Fourth Proportional to 314,154.40, 471,231.60 and 164,336.80

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Solution

The fourth proportional to 314,154.40, 471,231.60 and 164,336.80 is: 246,505.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,154.40 : 471,231.60 = 164,336.80 : x
  2. Step 2: Convert to fraction form
    314,154.40/471,231.60 = 164,336.80/x
  3. Step 3: Cross multiply
    314,154.40x = 471,231.60 × 164,336.80
  4. Step 4: Simplify right side
    314,154.40x = 77,440,693,202.88
  5. Step 5: Solve for x
    x = 77,440,693,202.88/314,154.40
  6. Step 6: Final answer
    x = 246,505.20

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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.