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Finding the Fourth Proportional to 430,414.72, 645,597.18 and 164,202.16

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Solution

The fourth proportional to 430,414.72, 645,597.18 and 164,202.16 is: 246,293.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,414.72 : 645,597.18 = 164,202.16 : x
  2. Step 2: Convert to fraction form
    430,414.72/645,597.18 = 164,202.16/x
  3. Step 3: Cross multiply
    430,414.72x = 645,597.18 × 164,202.16
  4. Step 4: Simplify right side
    430,414.72x = 106,008,451,445.91
  5. Step 5: Solve for x
    x = 106,008,451,445.91/430,414.72
  6. Step 6: Final answer
    x = 246,293.74

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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.