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Finding the Fourth Proportional to 430,479.82, 645,736.02 and 219,871.72

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Solution

The fourth proportional to 430,479.82, 645,736.02 and 219,871.72 is: 329,815.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,479.82 : 645,736.02 = 219,871.72 : x
  2. Step 2: Convert to fraction form
    430,479.82/645,736.02 = 219,871.72/x
  3. Step 3: Cross multiply
    430,479.82x = 645,736.02 × 219,871.72
  4. Step 4: Simplify right side
    430,479.82x = 141,979,089,383.35
  5. Step 5: Solve for x
    x = 141,979,089,383.35/430,479.82
  6. Step 6: Final answer
    x = 329,815.90

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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.