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Finding the Fourth Proportional to 314,023.60, 471,035.40 and 279,617.20

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Solution

The fourth proportional to 314,023.60, 471,035.40 and 279,617.20 is: 419,425.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,023.60 : 471,035.40 = 279,617.20 : x
  2. Step 2: Convert to fraction form
    314,023.60/471,035.40 = 279,617.20/x
  3. Step 3: Cross multiply
    314,023.60x = 471,035.40 × 279,617.20
  4. Step 4: Simplify right side
    314,023.60x = 131,709,599,648.88
  5. Step 5: Solve for x
    x = 131,709,599,648.88/314,023.60
  6. Step 6: Final answer
    x = 419,425.80

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1.5x scale

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.