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Finding the Fourth Proportional to 430,819.92, 645,659.64 and 330,597

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Solution

The fourth proportional to 430,819.92, 645,659.64 and 330,597 is: 495,457.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,819.92 : 645,659.64 = 330,597 : x
  2. Step 2: Convert to fraction form
    430,819.92/645,659.64 = 330,597/x
  3. Step 3: Cross multiply
    430,819.92x = 645,659.64 × 330,597
  4. Step 4: Simplify right side
    430,819.92x = 213,453,140,005.08
  5. Step 5: Solve for x
    x = 213,453,140,005.08/430,819.92
  6. Step 6: Final answer
    x = 495,457.92

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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.