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Finding the Fourth Proportional to 421,006.90, 580,961.64 and 239,737.36

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Solution

The fourth proportional to 421,006.90, 580,961.64 and 239,737.36 is: 330,821.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,006.90 : 580,961.64 = 239,737.36 : x
  2. Step 2: Convert to fraction form
    421,006.90/580,961.64 = 239,737.36/x
  3. Step 3: Cross multiply
    421,006.90x = 580,961.64 × 239,737.36
  4. Step 4: Simplify right side
    421,006.90x = 139,278,209,834.87
  5. Step 5: Solve for x
    x = 139,278,209,834.87/421,006.90
  6. Step 6: Final answer
    x = 330,821.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.