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Finding the Fourth Proportional to 430,590.92, 645,930.42 and 164,575.34

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Solution

The fourth proportional to 430,590.92, 645,930.42 and 164,575.34 is: 246,879.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,590.92 : 645,930.42 = 164,575.34 : x
  2. Step 2: Convert to fraction form
    430,590.92/645,930.42 = 164,575.34/x
  3. Step 3: Cross multiply
    430,590.92x = 645,930.42 × 164,575.34
  4. Step 4: Simplify right side
    430,590.92x = 106,304,218,487.84
  5. Step 5: Solve for x
    x = 106,304,218,487.84/430,590.92
  6. Step 6: Final answer
    x = 246,879.84

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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.