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Finding the Fourth Proportional to 430,467.20, 645,470.40 and 180,867.20

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Solution

The fourth proportional to 430,467.20, 645,470.40 and 180,867.20 is: 271,203.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,467.20 : 645,470.40 = 180,867.20 : x
  2. Step 2: Convert to fraction form
    430,467.20/645,470.40 = 180,867.20/x
  3. Step 3: Cross multiply
    430,467.20x = 645,470.40 × 180,867.20
  4. Step 4: Simplify right side
    430,467.20x = 116,744,423,930.88
  5. Step 5: Solve for x
    x = 116,744,423,930.88/430,467.20
  6. Step 6: Final answer
    x = 271,203.99

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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.