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Finding the Fourth Proportional to 430,821.92, 645,662.64 and 330,599

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Solution

The fourth proportional to 430,821.92, 645,662.64 and 330,599 is: 495,460.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,821.92 : 645,662.64 = 330,599 : x
  2. Step 2: Convert to fraction form
    430,821.92/645,662.64 = 330,599/x
  3. Step 3: Cross multiply
    430,821.92x = 645,662.64 × 330,599
  4. Step 4: Simplify right side
    430,821.92x = 213,455,423,121.36
  5. Step 5: Solve for x
    x = 213,455,423,121.36/430,821.92
  6. Step 6: Final answer
    x = 495,460.92

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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.