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Finding the Fourth Proportional to 257,025.20, 385,422.60 and 116,711.60

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Solution

The fourth proportional to 257,025.20, 385,422.60 and 116,711.60 is: 175,015.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,025.20 : 385,422.60 = 116,711.60 : x
  2. Step 2: Convert to fraction form
    257,025.20/385,422.60 = 116,711.60/x
  3. Step 3: Cross multiply
    257,025.20x = 385,422.60 × 116,711.60
  4. Step 4: Simplify right side
    257,025.20x = 44,983,288,322.16
  5. Step 5: Solve for x
    x = 44,983,288,322.16/257,025.20
  6. Step 6: Final answer
    x = 175,015.09

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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.