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Finding the Fourth Proportional to 314,189.60, 471,284.40 and 280,072.40

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Solution

The fourth proportional to 314,189.60, 471,284.40 and 280,072.40 is: 420,108.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,189.60 : 471,284.40 = 280,072.40 : x
  2. Step 2: Convert to fraction form
    314,189.60/471,284.40 = 280,072.40/x
  3. Step 3: Cross multiply
    314,189.60x = 471,284.40 × 280,072.40
  4. Step 4: Simplify right side
    314,189.60x = 131,993,752,990.56
  5. Step 5: Solve for x
    x = 131,993,752,990.56/314,189.60
  6. Step 6: Final answer
    x = 420,108.60

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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.