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Finding the Fourth Proportional to 456,757.60, 684,217.84 and 256,778.32

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Solution

The fourth proportional to 456,757.60, 684,217.84 and 256,778.32 is: 384,651.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,757.60 : 684,217.84 = 256,778.32 : x
  2. Step 2: Convert to fraction form
    456,757.60/684,217.84 = 256,778.32/x
  3. Step 3: Cross multiply
    456,757.60x = 684,217.84 × 256,778.32
  4. Step 4: Simplify right side
    456,757.60x = 175,692,307,469.23
  5. Step 5: Solve for x
    x = 175,692,307,469.23/456,757.60
  6. Step 6: Final answer
    x = 384,651.09

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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.