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Finding the Fourth Proportional to 255,123.60, 382,512.60 and 135,200.40

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Solution

The fourth proportional to 255,123.60, 382,512.60 and 135,200.40 is: 202,709.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,123.60 : 382,512.60 = 135,200.40 : x
  2. Step 2: Convert to fraction form
    255,123.60/382,512.60 = 135,200.40/x
  3. Step 3: Cross multiply
    255,123.60x = 382,512.60 × 135,200.40
  4. Step 4: Simplify right side
    255,123.60x = 51,715,856,525.04
  5. Step 5: Solve for x
    x = 51,715,856,525.04/255,123.60
  6. Step 6: Final answer
    x = 202,709.03

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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.