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Finding the Fourth Proportional to 383,630.92, 575,045.07 and 130,822.81

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Solution

The fourth proportional to 383,630.92, 575,045.07 and 130,822.81 is: 196,097.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,630.92 : 575,045.07 = 130,822.81 : x
  2. Step 2: Convert to fraction form
    383,630.92/575,045.07 = 130,822.81/x
  3. Step 3: Cross multiply
    383,630.92x = 575,045.07 × 130,822.81
  4. Step 4: Simplify right side
    383,630.92x = 75,229,011,934.05
  5. Step 5: Solve for x
    x = 75,229,011,934.05/383,630.92
  6. Step 6: Final answer
    x = 196,097.36

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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.