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Finding the Fourth Proportional to 430,168.82, 645,253.16 and 204,846.10

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Solution

The fourth proportional to 430,168.82, 645,253.16 and 204,846.10 is: 307,269.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,168.82 : 645,253.16 = 204,846.10 : x
  2. Step 2: Convert to fraction form
    430,168.82/645,253.16 = 204,846.10/x
  3. Step 3: Cross multiply
    430,168.82x = 645,253.16 × 204,846.10
  4. Step 4: Simplify right side
    430,168.82x = 132,177,590,701.31
  5. Step 5: Solve for x
    x = 132,177,590,701.31/430,168.82
  6. Step 6: Final answer
    x = 307,269.11

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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.