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Finding the Fourth Proportional to 283,321.60, 424,785.60 and 125,464

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Solution

The fourth proportional to 283,321.60, 424,785.60 and 125,464 is: 188,108.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,321.60 : 424,785.60 = 125,464 : x
  2. Step 2: Convert to fraction form
    283,321.60/424,785.60 = 125,464/x
  3. Step 3: Cross multiply
    283,321.60x = 424,785.60 × 125,464
  4. Step 4: Simplify right side
    283,321.60x = 53,295,300,518.40
  5. Step 5: Solve for x
    x = 53,295,300,518.40/283,321.60
  6. Step 6: Final answer
    x = 188,108.85

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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.