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Finding the Fourth Proportional to 430,248, 645,372 and 204,925.44

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Solution

The fourth proportional to 430,248, 645,372 and 204,925.44 is: 307,388.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,248 : 645,372 = 204,925.44 : x
  2. Step 2: Convert to fraction form
    430,248/645,372 = 204,925.44/x
  3. Step 3: Cross multiply
    430,248x = 645,372 × 204,925.44
  4. Step 4: Simplify right side
    430,248x = 132,253,141,063.68
  5. Step 5: Solve for x
    x = 132,253,141,063.68/430,248
  6. Step 6: Final answer
    x = 307,388.16

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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.