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Finding the Fourth Proportional to 383,617.60, 576,031.20 and 225,966.40

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Solution

The fourth proportional to 383,617.60, 576,031.20 and 225,966.40 is: 339,305.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,617.60 : 576,031.20 = 225,966.40 : x
  2. Step 2: Convert to fraction form
    383,617.60/576,031.20 = 225,966.40/x
  3. Step 3: Cross multiply
    383,617.60x = 576,031.20 × 225,966.40
  4. Step 4: Simplify right side
    383,617.60x = 130,163,696,551.68
  5. Step 5: Solve for x
    x = 130,163,696,551.68/383,617.60
  6. Step 6: Final answer
    x = 339,305.85

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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.