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Finding the Fourth Proportional to 421,308.92, 632,123 and 252,946.82

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Solution

The fourth proportional to 421,308.92, 632,123 and 252,946.82 is: 379,516.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,308.92 : 632,123 = 252,946.82 : x
  2. Step 2: Convert to fraction form
    421,308.92/632,123 = 252,946.82/x
  3. Step 3: Cross multiply
    421,308.92x = 632,123 × 252,946.82
  4. Step 4: Simplify right side
    421,308.92x = 159,893,502,698.86
  5. Step 5: Solve for x
    x = 159,893,502,698.86/421,308.92
  6. Step 6: Final answer
    x = 379,516.06

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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.