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Finding the Fourth Proportional to 255,713.60, 383,426.40 and 97,947.20

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Solution

The fourth proportional to 255,713.60, 383,426.40 and 97,947.20 is: 146,865.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,713.60 : 383,426.40 = 97,947.20 : x
  2. Step 2: Convert to fraction form
    255,713.60/383,426.40 = 97,947.20/x
  3. Step 3: Cross multiply
    255,713.60x = 383,426.40 × 97,947.20
  4. Step 4: Simplify right side
    255,713.60x = 37,555,542,286.08
  5. Step 5: Solve for x
    x = 37,555,542,286.08/255,713.60
  6. Step 6: Final answer
    x = 146,865.64

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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.