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Finding the Fourth Proportional to 255,905.20, 383,857.80 and 113,750.20

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Solution

The fourth proportional to 255,905.20, 383,857.80 and 113,750.20 is: 170,625.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,905.20 : 383,857.80 = 113,750.20 : x
  2. Step 2: Convert to fraction form
    255,905.20/383,857.80 = 113,750.20/x
  3. Step 3: Cross multiply
    255,905.20x = 383,857.80 × 113,750.20
  4. Step 4: Simplify right side
    255,905.20x = 43,663,901,521.56
  5. Step 5: Solve for x
    x = 43,663,901,521.56/255,905.20
  6. Step 6: Final answer
    x = 170,625.30

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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.