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Finding the Fourth Proportional to 383,785.28, 575,679 and 147,200.48

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Solution

The fourth proportional to 383,785.28, 575,679 and 147,200.48 is: 220,801.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,785.28 : 575,679 = 147,200.48 : x
  2. Step 2: Convert to fraction form
    383,785.28/575,679 = 147,200.48/x
  3. Step 3: Cross multiply
    383,785.28x = 575,679 × 147,200.48
  4. Step 4: Simplify right side
    383,785.28x = 84,740,225,125.92
  5. Step 5: Solve for x
    x = 84,740,225,125.92/383,785.28
  6. Step 6: Final answer
    x = 220,801.13

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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.