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Finding the Fourth Proportional to 682,893.60, 1,024,340.40 and 256,428.60

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Solution

The fourth proportional to 682,893.60, 1,024,340.40 and 256,428.60 is: 384,642.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,893.60 : 1,024,340.40 = 256,428.60 : x
  2. Step 2: Convert to fraction form
    682,893.60/1,024,340.40 = 256,428.60/x
  3. Step 3: Cross multiply
    682,893.60x = 1,024,340.40 × 256,428.60
  4. Step 4: Simplify right side
    682,893.60x = 262,670,174,695.44
  5. Step 5: Solve for x
    x = 262,670,174,695.44/682,893.60
  6. Step 6: Final answer
    x = 384,642.90

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Similar ratio
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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.